5. e* dx u 0. du

Q: Evaluate the integral using appropriate substitution. an NOTE: Enter the exact answer. 8x?e"" dx +C

A: Given the integral

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A: To find the value of the integration we use the change of variable. Offer change of variable we find…

Q: 8) Evaluate each of the integrals below by using antiderivatives. b) f, sin' xdx 3. a) sinx dx c)…

A: a)

Q: Evaluate the integral dx by making the substitution u = 5x². After substituting we have: (in terms…

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Q: Evaluate the integral. x* In(x) dx =| NOTE: Enter the exact answer.

A: We evaluate the given integral

Q: Evaluate the integral and check your answer by differentiating. NOTE: Enter the exact answer. + 2e"|…

A:

Q: Express the integral in terms of the variable u, but do not evaluate it. So e15x-14 dx; u 15x - 14…

A: ∫01e15x-14dxLet u=15x-14.=∫-141eu115du=115·∫-141eudu=115eu-141=115e-1e14=e15-115e14

Q: Find the integral. Box Final Answe r. For the definite integral, gve the exact answer only Ssin(Bx)…

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Q: Evaluate the improper integral -dy dx as an iterated integral. 2 e -x The value is (Type a…

A: We need to calculate improper double integral

Q: Evaluate the integral and check your answer by differentiating. NOTE: Enter the exact answer. + 6e*|…

A: Solution of above integral is written in step2.

Q: Evaluate the integral. NOTE: Enter the exact answer. + 13/x| dx +C [ 20:r3

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Q: S 4 sec2x dx 2. tan2x+2tanx +5

A: topic - indefinite integral

Q: S sec? (;x + 4)dx ec²Gx

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Q: (b) [(x+1)e¯ 4r² 8r+l dr

A: Given, ∫(x+1)e-4x2-8x+1dx

Q: +S J dx dy O A. A= dx dy O B. A = dx dy The value of the integral is. (Simplify your answer. Type an…

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Q: dz "The integral S is a definite integral " 2-4

A: we have to subtitute x = 2 sec u  then find the integral using  ∫Secxdx=|nsecx+tanx

Q: Evaluate the integral and check your answer by differentiating. NOTE: Enter the exact answer. + 2e"|…

A: Solve the integration

Q: Evaluate the integral and check your answer by differentiating. NOTE: Enter the exact answer. + 3e"|…

A: Integrating the given function

Q: dy: cos(y) + 7 Consider the integral This can be transformed into a basic integral by letting u =…

A: We can fill up the blanks as below.

Q: Evaluate the following integral or state that it diverges. S (15 In x)dx Select the correct choice…

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Q: Evaluate the definite integral. 1 e? + 6 dz Jo ez + 6z

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Q: 00 (x)3 The numerical value of the improper integral dr is equal to .... ... (x++1)? -00

A: To find the numerical value of the given improper integral.

Q: Consider the indefinite integral r · Va + 7 dæ: This can be transformed into a basic integral by…

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Q: Evaluate the integral. π/6 6 sec 2x dx T/6 | 6 sec?x dx = (Type an exact answer.)

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Q: Use a substitution to write the following integral as an integral of a rationa function. Do not…

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

Q: Use integration by parts to evaluate the following definite integral. Provide exact answer: 1…

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Q: r Evalua te the Integral

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Q: Approximate the definite integral for the stated values of a, b, and n by using Simpson's Rule.…

A: Use Simpsons formula for finding the definite integration

Q: Evaluate the integral. xe dx NOTE: Enter the exact answer.

A: Find your answer below

Q: Which of the following integrals is equal to the integral (3x-s) dr? 7/3 A |dz 713 B D

A: Please see the answer below.

Q: et up the definite integral that is needed to find the area of the shaded region for f(x) = cos(7x)…

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Q: Evaluate the integral and check your answer by differentiating. NOTE: Enter the exact answer. + 4e"|…

A: Here we have to evaluate the given integral and check the answer by differentiating.

Q: Evaluate the integral or state that it diverges. dx 10 Select the correct choice below and, if…

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Q: 21) Evaluate or find the following integrals 21.1) J? cot x dx

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Q: Evaluate the integral and check your answer by differentiating. NOTE: Enter the exact answer. + 4e"…

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Q: Use a change of variables to evaluate the following indefinite integral. 8. dx O A. u=x° + 28 O B.…

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Q: 1 a) I = S dx 1+cos(x)

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Q: 3. Evaluate the following integrals. You might need to change the given integral to an equivalent…

A: As per Bartleby guidelines for more than one questions asked, only one is to be answered. Please…

Q: Evaluate the integral. r3 dx NOTE: Enter the exact answer.

A: Topic = Integration

Q: 7) Evaluate each of the integrals below by using antiderivatives. b) f, cos.xdx a) sin xdx cosxdx c)…

A: a). b).

Q: Evaluate the integral below. Find the value of A + B - C, where "e = 2.718281828..". A dx = e +C B…

A: To find A+B-C Given integral is, ∫01xex1+x2dx=∫01exx+1-11+x2dx…

Q: a) I = Sx² e-* dx 2 b) I = S Artan(3x) dx

A: As per our guidelines, we are supposed to solve only the first two problems/subdivisions. Please…

Q: Evaluate the improper integral or state that it diverges. dx 64 Select the correct choice below and,…

A: Consider the given integration. I=∫64∞dxx3 Now, calculate the integral.…

Q: | #(9 – In² x)5/2 dx I. Evaluate the following integrals. 1 1. -d.x x(9 – In? x)5/2

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Q: r? +3 dr 2

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Q: Complete the table to find the indefinite integral. (Use C for the constant of integration.)…

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Q: Consider the indefinite integral a3. Vx* + 5 dx: This can be transformed into a basic integral by…

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Q: y x y -2

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Q: Use a change of variables to evaluate the following definite integral. 6 S- dp /64 + p² 6 p | (Type…

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Q: Consider the indefinite integral a. Va + 9 dæ: This can be transformed into a basic integral by…

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