sin (3x) dx = ?
find the integral

Answers

Answer 1

Answer:

[tex]\displaystyle \displaystyle \int {sin(3x)} \, dx = \frac{-cos(3x)}{3} + C[/tex]

General Formulas and Concepts:

Calculus

Antiderivatives - Integrals

Integration Constant C

Integration Property [Multiplied Constant]: [tex]\displaystyle \int {cf(x)} \, dx = c \int {f(x)} \, dx[/tex]

Trig Integration: [tex]\displaystyle \int{sin(x)} \, dx = -cos(x) + C[/tex]

U-Substitution

Step-by-step explanation:

Step 1: Define

[tex]\displaystyle \int {sin(3x)} \, dx[/tex]

Step 2: Identify Substitution Variables

u = 3x

du = 3dx

Step 3: Integrate

[Integral] Rewrite:                                                                                           [tex]\displaystyle \frac{1}{3}\int {3sin(3x)} \, dx[/tex][Integral] U-Substitution:                                                                                [tex]\displaystyle \frac{1}{3}\int {sin(u)} \, du[/tex][Integral] Trig Integration:                                                                              [tex]\displaystyle \frac{1}{3}[-cos(u)] + C[/tex][Expression] Multiply:                                                                                     [tex]\displaystyle \frac{-cos(u)}{3} + C[/tex][Expression] Back-Substitute:                                                                        [tex]\displaystyle \frac{-cos(3x)}{3} + C[/tex]

Related Questions

find the product of 1x6x6

Answers

36 is the answer yes yes yes

Answer:

36

Step-by-step explanation:

1x6=6

6x6=36

Hope this helps! :)

please help me , i need this like right noww pleaseeeeeeee !!!!!!!!

Answers

Answer: -9

Step-by-step explanation:

KH = x -1 and Eh =2x-12

2x-12 =10-1=9

The answer should be -9

Anna surveyed 300 of the students in her school about their favorite color. 186 students said their favorite color was red. What percentage of the surveyed students said their favorite color was red?
Answer:_________

PLEASE HELP ME!!!

Answers

Answer:

62%

Step-by-step explanation:

I took a fraction and made a decimal which was made into a percentage.

186 ÷ 300 = .62

Check: 62% • 300 = 186

The survey Anna conducted has 62% of students whose favorite color is red.

What is percentage?

The percentage is the value per hundredth. Percentages can be converted into decimal form by dividing them by hundred, Percentage can also be represented as a fraction.

Given that 186 out of 300 students Anna surveyed chooses red as their favorite color.

The percentage of students whose favorite color is red is no. of students whose favorite color is red divided by the total no. of students multiplied by hundred which is,

= (186/300)×100.

= 186/3.

= 62%.

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2?////////////////////////////////////////////////

Answers

Answer:

2...........???

Step-by-step explanation:

-a^2+7b^4-2c^3 if a= -4 b= -2 and c=-3

Answers

Step-by-step explanation:

-(-4)²+7(-2)⁴-2(-3)³

=16+7(16)-2(-27)

=15+112+54

=181

The evaluation of the expression is 150.

What is an expression?

In mathematics, expression is the combination of variables with the application of operations and prescribed rules. It might take the shape of an equation, some numbers, etc.

The given expression is:

-a² + 7b⁴  -2c³

Substituting, a= -4 b= -2 and c=-3

-a² + 7b⁴  -2c³

= -(-4)² + 7(-2)⁴  -2(-3)³

= -16 + 7 x 16 + 54

= 150

Therefore, the value of the expression is 150.

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Solve for x in the following equation.
X/5=25
X=?

Answers

Answer:

125

Step-by-step explanation:

25 × 5 = 125

x/5 = 25 × 5 = 125

x = 125

X=25
25 x 5 = 125 your welcome

3 5 157 5 4 20 2 4 - 2 2- = 2 5 20 (Type wholebes hact fractions, or mi​

Answers

Answer:

look on quizlet you will find your answer to there

95% of 7-year-old children are between inches and inches tall.

Answers

45 and 53 are the correct answers on edge.

Answer:

45 and 53, i got it right on edge

a pack of pens cost $3. Prisha spent $12 on pens. Each pack has 5 pens How many packs did Prisha buy?

Answers

Answer: 4

Step-by-step explanation: I think

$12 divided by $3/pack = 4 packs of pens.


4 packs x 5 pens = 20 pens (if there’s a follow-up question)

Please hurry and answer

Answers

Answer:

B. cot A

Step-by-step explanation:

BECAUSE

COS A ÷ SIN A = COT A

MARK ME AS BRAINLIST

Find the quotient.
12азр+ = -2a?р
-ба Зp 5
3
-24ар
3
-бар
ба 5р 3

Answers

Answer:put the questions in order before sloving  cuz i don't understand the question .

Step-by-step explanation:

Solve the equation
2x2 + 12x - 7 = 0
by completing the square.
Give your answers correct to 2 decimal places.
Show step by step please!!!!

Answers

Step-by-step explanation:

4+12x=7

12x=7-4

12x=3

X=3/12

X=0.25

Can someone help with this?

Answers

Answer:

A, 16x^9

Step-by-step explanation:

You apply the function f to x, then apply the function f to that.

f(x)=2x^3

f(f(x))=f(2x^3)=2(2x^3)^3 = 2*2^3*(x^3)^3 = 2*8*x^(3*3)=16x^9

Which angle is an alternate interior angle to 8?

Answers

Answer:

<5

Step-by-step explanation:

Interior angle Kasi eh hihi

classify the number -4_6/7 in as many ways as you can

Answers

-34/7 is the exact form -4.857142 repeating

1. Suppose that

O = {o, r, a, n, g, e}, A = {a, p, 1. e}, B = {b, a, n}.

Put one of the symbols E and €.

a) r... 0

b) p ... A

Answers

Answer:

a) r ∈ O

b) p ∈ A

Step-by-step explanation:

Given:

[tex]O=\{0,r,a,n,g,e\}\\A=\{a,p,1,e\}\\B=\{b,a,n\}[/tex]

To put: symbols ∈ or ∉ in the blanks.

Solution:

A set is a well - defined collection of objects.

In mathematics, an element of a set refers to the object that belong to that set.

a) r ∈ O

b) p ∈ A

What is 25% of 60? I need this answer right away

Answers

Answer:

15

Step-by-step explanation:

Answer:

2.4

Step-by-step explanation:

60÷25=2.4

what is the place value of 3 in 553 049 270?​

Answers

Answer:

1 million

Step-by-step explanation:

Start counting at position 0, the rightmost position has value 10⁰ = 1

The one left to that 10¹ = 10

... and so forth ...

The 6th position has value 10⁶ = 1000000, a.k.a. one million.

The place value of 3 in 553 049 270 is 1 million.

Here the number is given as 553 049 270.

We have to find the place value of 3 in given number.

What is Place value?

Place value is describe the position or place of a digit in a number.

Now,

To find the place value of 3;

Start counting at position 0, the rightmost position has value [tex]10^{0}= 1[/tex]

The position of 7, one left to 0, has value [tex]10^{1} = 10[/tex]

------ and so on.

Now, position of 3 is 6th position has value [tex]10^{6} = 1000000[/tex]

So, The place value of 3 in 553 049 270 is 1 million.

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A quadrilateral had two angles thst measure 260degrees amd 50 degrees. The other two angles are in a ratio of 2:3. What are the measures of those two angles.

Answers

Step-by-step explanation:

Here's another solution.

360-275-20=65

ratio 3:10

3x+10x=65

13x=65

x=5

5*3=15° and 5*10=50°

15° and 50° are the other two angles

Exercise 1.7.1.
1. In a class of 32 students, 11 study Physics, 16 study Biology, 14 study Chemistry but
4 do not study of these subjects, 5 study Physics and Biology,4 study Physics and
Chemistry, 7 study Biology and chemistry while 6 study chemistry only. Using n to
represent the number of students who study all three subjects.
(a) Illustrate this information on a Venn diagram
(6) Write an equation in terms of n.
(c) By solving your equation in (6), find the number of students who study:
(i) all three subjects
(ii) Physics or Chemistry but not Biology

Answers

thiz language is french

Write 8 and 1/3 % as a fraction in simplified form.

Answers

Answer:

as a fraction i believe it would be 25/3, but correct me if im wrong :)

A small publishing company is planning to publish a new book. One time fixed cost 65,018. The variable cost is 10$ . Publisher will sell book for 24.75
How many books must the publisher produce and sell

Answers

Answer:

i make the solving and i take this answer not shore if it right for u

65018

cost:10$

sell:24.75

cp:10

sp:24.75

cp = 100_×_24_.75_

100+65018

my answer was 3.806638162×10-⁴

Please help me solve this word problem please

Answers

Answer:

it is 69

Step-by-step explanation:

do calculations

(1 point)
Carlos measured the rainfall amounts, in inches, in his town for one week. The amounts were
0.1, 0.5, 0, 0.32, 0, 0, 1.5, and 0. What is the outlier in this set of data?
Oo
00.1
O 0.32
O 1.5

Answers

:

Knowing the average monthly rainfall for a location is helpful when you're packing for a ... Add together all of the monthly rainfall totals in your sample data. ... in inches because rainfall is generally measured in inches in the United States. ... is to maintain the linear relationship of the formula, since there is no 0 BC or 0 AD

-1/3 = r - 3/4 What is r?

Answers

Answer:

r = 5/12

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

BracketsParenthesisExponentsMultiplicationDivisionAdditionSubtractionLeft to Right  

Equality Properties

Multiplication Property of EqualityDivision Property of EqualityAddition Property of EqualitySubtraction Property of Equality

Step-by-step explanation:

Step 1: Define

-1/3 = r - 3/4

Step 2: Solve for r

[Addition Property of Equality] Add 3/4 on both sides:                                  5/12 = rRewrite:                                                                                                             r = 5/12

esto es among us respondan por favor :(​

Answers

Answer:

Step-by-step explanation:

solo un nino diria eso

Yo No veo nada?? Que necesitas

THURSDAY Draw this model on a piece of 1 peper. Hank cut his pizza into 10 pieces and ate 6 of the pieces. Rose cut her pizza into 5 pieces and ate the same amount as Hank Show this on the drawing​

Answers

Answer:

Rose: 6/5 or 1.2

Hank: 6/10 ÷ 6 = 0.1

Step-by-step explanation:

89% out of 100 that this is correct

89 out of 100% that is correct

An online video streaming service offers two plans for unlimited streaming. Plan A has a one-time $25 membership fee and is $8 per month. Plan B has a $5 membership fee and is $12 per month.

Write a System of Equations that represents the 2 plans

For which months is Plan A the less expensive option? For which months is Plan B
the less expensive option?

Answers

Answer:

Plan A : f(x) = 25 + 8x

Plan B : f(x) = 5 + 12x

Plan A is better if used for more than 5 months (5 - ∞), plan B for 1 - 4 months

Step-by-step explanation:

x represents months

Plan A : f(x) = 25 + 8x

Plan B : f(x) = 5 + 12x

The equilibrium is when both of these functions have the same value

25 + 8x = 5 + 12x

4x = 20

x = 5

Now we compare these two plans before the 5 months,

e. g. when x = 2

The cost of plan A: 25 + 8x = 25 + 8 * 2 = 41$

The cost of plan B: 5 + 12x = 5 + 12 * 2 = 29$

Since 41$ > 29$, for 1-4 months plan B is a cheaper option, then after 5 months the costs of these two plans are equal and then plan A will be the cheaper aka less expensive option.

Make me the brainliest ;)

Solve for x in the problems below

Answers

Answer:

a)......1+2=90 degree.....

so,x+x-20=90=2x=110

x=55degree

Step-by-step explanation:

b)let it be a triangle....angle1=56

2=y

3=29....by vertically opposite angles

by ext angle property... x= 1+3=56+29= 85

Answer:

55 degrees is the answer

A washer and a dryer cost $450 combined. The cost of the washer is two times the cost of the dryer. What is the cost of the dryer?

Answers

Answer:

$150

Step-by-step explanation:

so you can divvy this up into 3 parts

$150 each

now put 2 parts into one, and one into the other. The cost of the washer is $150

cost of the dryer is$ 300

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