Please give the correct answer marked with a red x. Tutorial ExerciseEvaluate the indefinite integral.| cos(T/x?)xpStep 1We must decide what to choose for u.If u = f(x), then du = f'(x) dx, and so it is helpful to look for some expression for which the derivative isalso present, though perhaps missing a constant factor.cos1We can re-writedx =dx.COS3x31sin-2xWe see thatx2is part of this integral, and the derivative of+ Cis2

Answered: Image /qna-images/answer/c425e454-df95-4b07-860c-28d04cfb0efa.jpg

Answered: ate the indefinite integral. |…

Math

Calculus

ate the indefinite integral. | cos(T/x²) x3 dx

Functions and Change: A Modeling Approach to College Algebra (MindTap Course List)

6th Edition

ISBN:9781337111348

Author:Bruce Crauder, Benny Evans, Alan Noell

Publisher:Bruce Crauder, Benny Evans, Alan Noell

Chapter1: Functions

Section1.2: Functions Given By Tables

Problem 32SBE: Does a Limiting Value Occur? A rocket ship is flying away from Earth at a constant velocity, and it...

See similar textbooks

Related questions

Q: Evaluate the definite integral (1+lnx)? dx a.

Q: Find the following indefinite integral: ∫12x (x2 – 9 )-3 dx. Hint: Use a Substitution

A: Given: I=∫12xx2-9-3dx for evaluating given integral, we substitute x2-9=t…

Q: Find the indefinite integral.

A: Integration is summation of discrete data. The integral is calculated for the functions to find…

Q: Find the indefinite integral.

Q: use the Change of Variables Formula to evaluate the definite integral.

Q: Evaluate the definite integral. xe dx Jo

A: using substitution method

Q: Explain why each of the following integrals is improper integral 1 to 2 x / x-1 dx

Q: Explain why each of the following integrals is improper integral 0 to infinity 1 / 1+ x 3 dx

Q: Evaluate the integral. 1. (x10 + 10*)dx

Q: Find the indefinite integral.

A: Given Data The equation is ꭍ√ (1+√x)dx. Let,

Q: Evaluate the following indefinite integral. |(3+x) (4+x°) dx

Q: In x dx

A: Given, ∫ln (x)x dx

Q: use the Change of Variables Formula to evaluate the definite integral.

Q: Find the indefinite integral by using the appropriate formula ∫ e−3x sin 4x dx

Q: Find the indefinite integral. dx

Q: 6 Use the definition of the definite integral to evaluate | (x? - 2) dx.

A: Consider the given integral. I=∫06x2-2dx

Q: Use an appropriate u-substitution to find the exact value (no calculator) of the following definite…

A: we need to substitute appropriate u to find the value of given integral. also we know: ∫ xn dx =…

Q: x3 2. S dx x6+15x++75x²+125

Q: +oo So xe-dx = 1

A: Evaluate: ∫0∞xe-xdx Apply infinte integral property: ∫a∞fx dx=limx→∞∫axfx dx ∫a∞xe-xdx…

Q: Evaluate the integral, if it exists.

A: The given integral is ∫x+2x2+4xdx. Evaluate the integral.

Q: Evaluate the integral ∫sinhxcosh(−x)dx.

A: Given integral:

Q: 4 S(x*+: (х+5)dx

Q: Evaluate the given integral. Use exact values. ∫ 6x2−23x+19/(x−1)(x−2)2 dx

Q: Use a table of integrals to evaluate the definite integral.

A: Let the given integral be y - y = ∫012x3ex2dxy = ∫01x2ex22xdxLet,t = x2Differentiating on both sides…

Q: Find the indefinite integral by making the substitution x- 7tan e. dx 49+x²

A: See attached file for a step by step explanation.

Q: Find the indefinite integral.

A: Given integral: ∫exx dx Substitute x=t and differentiate it w.r.t 'x' ddxx=dtdx12x=dtdxdxx=2 dt

Q: Find the indefinite integral. x' + dx +C.

A: Integrate

Q: 6. X1-x dx x dx

A: “Since you have asked multiple questions, we will solve the first question for you. If you want…

Q: Find the indefinite integral. 1 dx = +C. x +

Q: Find the indefinite integrals below. a) S 12x³ Vxdx dx x³-7 b) S c) S 9e0.2x dx

A: We have tofind the indefinite integrals.

Q: Evaluate the definite integral. (x – 3)ª dx

A: Given: I=∫13(x-3)4dx For evaluating given integral have to use formula mentioned below…

Q: Find the indefinite integral ∫xe1−x2 dx

A: We need to evaluate the following integral: We will use u-substitution method u = 1-x2 du = -2xdx

Q: Use a change of variables or the table to evaluate the following definite integral. 15 e 3x dx

A: Given integral is ∫0315e3xdx Substitute 3x=y ⇒3dx=dy⇒dx=dy3 And limit of integration will be change…

Q: Evaluate the indefinite integral. x4/(1+x10)dx

Q: Find the indefinite integral. + x + x-9) dx + C

Q: Incardx (x)dx 4.

A: yes

Q: i. Inx dx

Q: find the indefinite integral 1十xe dx

A: To find the indefinite integral integration (6/(1+x²))dx

Q: Calculate the value of the definite integral. 5 4 dx

Q: Find the indefnite integral. 100 + e4x dx

A: Explanation is given below..

Q: Explain why each of the following integrals is improper integral -infinity to infinity x2 e -x2 dx

A: Given Data The integral is ꭍ∞-∞ x²e x2 dx When one of limit or both limit points of integration…

Q: Find the indefinite integral ∫ 1/x√(x4 − 4) dx

A: To evaluate integral : ∫1xx4-4dx By using substitution method, Take t = x2 dt = 2x dx dt2x=dx

Q: Find the indefinite integral of Se-* cos e-*dx.

A: The given integral is: ∫e-xcos e-xdx We use the substitution method here.

Q: g. S(x sin2x + x² cos2x) dx

Q: Find the answer to the following indefinite integral:

A: Given indefinite integral ∫1cos(x)dx ⇒∫1cos(x)dxSimplify using trigonometric…

Q: [sin x dx

Q: Use a change of variables or the table to evaluate the following indefinite integral. 4x e dx e 4x…

A: Here we have to find the required indefinite integral using change of variable method.

Q: Use a change of variables to evaluate the following definite integral. 1 2x dx (x² +3)?

Q: Evaluate the following indefinite integral ∫ 5x/(x+5)^3 dx

A: I =∫5xx+53dxI = ?

Question

100%

Please give the correct answer marked with a red x.

Tutorial Exercise
Evaluate the indefinite integral.
| cos(T/x?)
xp
Step 1
We must decide what to choose for u.
If u = f(x), then du = f'(x) dx, and so it is helpful to look for some expression for which the derivative is
also present, though perhaps missing a constant factor.
cos
1
We can re-write
dx =
dx.
COS
3
x3
1
sin-
2x
We see that
x2
is part of this integral, and the derivative of
+ C
is
2

Expert Solution

This question has been solved!

Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.

This is a popular solution!

SEE SOLUTION Check out a sample Q&A here

Step 1

VIEW

Step 2

VIEW

Trending now

This is a popular solution!

Step by step

Solved in 2 steps with 2 images

SEE SOLUTION Check out a sample Q&A here

Knowledge Booster

$Indefinite Integral$

Learn more about

Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, calculus and related others by exploring similar questions and additional content below.

Similar questions

Does a Limiting Value Occur? A rocket ship is flying away from Earth at a constant velocity, and it continues on its course indefinitely. Let D(t) denote its distance from Earth after t years of travel. Do you expect that D has a limiting value?
Evalute the definite integrals
Evaluate the indefinite integral ∫ t - 6/11 dt. Remember, there are no Product, Quotient, or Chain Rules for integration.
Find the indefinite integral: ∫ x (x - 8)1.5 dx. Hint: Use Integration by Parts.
(a) The volume (growth) of the tumor can be found by integrating the function g (t) with respect to time t. Explain in your own words why this is so. (b) Use the symbols t1 and t2 as the lower and upper bounds of the integral respectively. If t1 is initialized as t1 = 0, calculate what will the value of t2 be? (c) Using your answer in part (b), write down the definite integral that will be used to calculate the volume (growth) of the tumor. (d) Solve the definite integral with an appropriate substitution. (e) State in English what the value of your answer in part (e) describes.
1. Evaluate the definite integral. Show your complete solution.