Evaluate the integral by making the given substitution. (Use C for the constant of integration.) sin*(e) cos(e) de, u = sin(0)

Q: Evaluate the integral. (Use C for the constant of integration.) | 8 sin (x) cos°(x) dx

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Q: Evaluate the integral. (Use C for the constant of integration.) tan (x) cos(x) dx

A: ∫tan8xcos9xdx

Q: Use the Table of Integrals to evaluate the integral. (Use C for the constant of integration.)…

A: Given,            ∫sin2θ8-3sinθdθ

Q: Evaluate the integral. (Use C for the constant of integration.) (8x + 7 sin(x))? dx

A: Answer is given below....

Q: Evaluate the integral. (Use C for the constant of integration.) tan3(x) sec (x) dx

A:

Q: Evaluate the integral. (Use C for the constant of integration.) tan(x) cos(x) dx

A: ∫tan8xcos9xdx

Q: Use the Table of Integrals to evaluate the integral. (Use C for the constant of integration.) x…

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Q: Find the indefinite integral. (Use C for the constant of integration.) de cos(0) – 1

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Q: Evaluate the integral. (Use C for the constant of integration.) 2 sin?(x) cos (x) dx

A: Let the given integral be y - y = ∫2sin2xcos3xdxy = 2∫sin2xcos3xdxy = 2∫sin2xcos2xcosxdxy =…

Q: Evaluate the integral. (Use C for the constant of integration.) 9 cos X dx 3 + sin x

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Q: Select the basic integration formula you can use to find the indefinite integral, and identify u and…

A: Consider the given integration as

Q: Evaluate the integral. (Use C for the constant of integration.) dr

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Q: Evaluate the integral. (Use C for the constant of integration.) | tan (x) cos°(x) dx

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Q: Evaluate the integral. (Use C for the constant of integration.) 4 tan(x) sec (x) dx

A: Given the integral, ∫4tan(x)sec3(x) dx = I(Say) Now, I=∫4tan(x)Sec(x)sec2(x) dx.........(1)  Now…

Q: Find the integral. (Use C for the constant of integration.) sin(-3x)cos(2x) dx

A:

Q: Evaluate the integral. (Use C for the constant of integration.) 9 sin(4) cos³(4) dp

A: Given integral is  Let us take

Q: Evaluate the integrals using integration by parts. ∫eθ sin θ dθ

A: ∫eθsinθdθ

Q: Evaluate the integrals using integration by parts. ∫sin-1 y dy

A: Evaluate: ∫sin-1ydy

Q: Find the indefinite integral. (Use C for the constant of integration.) an(x) In cos(

A: The given integral is: I=∫9tan xlncos x dx

Q: cos(x* + 2) dx

A: To Evaluate: ∫x3cosx4+2dx Concept: ∫cosxdx=sinx+C

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: Evaluate the integral. (Use C for the constant of integration.) 10 sin(2x) dx 1 + cos“(x)

A: Answer is -10arctan(cos^2x)+C.

Q: Use the table of integrals to evaluate the integral. (Use C for the constant of integration.) [ 7…

A:

Q: Evaluate the integral. (Use C for the constant of integration.) ln(√x) dx

A: I = ∫ln(x)dxUsing,     ln ab=b ln aI  = ∫ln(x)12dxI =12∫ln(x) dx

Q: Evaluate the integral. (Use C for the constant of integration.) 1- sin(x) dx

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Q: Evaluate the integral. (Use C for the constant of integration.) (ln(x))2 dx

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Q: Evaluate the integral. (Use C for the constant of integration.) | 3 tan?(x) dx

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Q: Find the indefinite integral. (Use C for the constant of integration.) 6 de cos(0) – 1

A: Given integration is : ∫6cosθ-1dθ To find the value of integration. Use trigonometry ratio formula,…

Q: please answer the question and show all of your work

A: Given integral is

Q: Evaluate the integral by u-substitution. (Use C for the constant of integration.) Integral of…

A: Given : Integral ∫Sin3(x) cos(x) dx   To find : Evaluate the integral by u-substitution?

Q: Evaluate the integral. (Use C for the constant of integration.) sin (x) cos (x) dx 4.

A:

Q: how to solve problem in photo attached

A: Given:

Q: Find the indefinite integral. (Use C for the constant of integration.) sin3 30 cos 30 de

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Q: Evaluate the integral. (Use C for the constant of integration.) 9 cos5(x) sin*(x) dx

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Q: Evaluate the integral. (Use C for the constant of integration.) (2× – 5*) dx

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Q: Find the indefinite integral. (Use C for the constant of integration.) sin (x) cos(x) dx

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Q: Evaluate the integral. (Use C for the constant of integration.) 3 cos x dx 6 + sin x

A: Evaluate the integral.

Q: Evaluate the integral. (Use C for the constant of integration.) 9)sin(xx) dx

A:

Q: Use integration by parts to evaluate the definite integral. e2x sin x dx

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Q: Use the Table of Integrals to evaluate the integral. (Use C for the constant of integration.) 25x2 +…

A: I am attaching image so that you understand each and every step.

Q: Evaluate the integral. (Use C for the constant of integration.) 5x cos(4x) dx

A: Given, ∫5xcos4xdx We have to evaluate the integral.

Q: Evaluate the integral. (Use C for the constant of integration.) 9 sin(2x) dx 1 + cos“(x)

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Q: Evaluate the integral 1 dx x4 – x2 Note: Use an upper-case "C" for the constant of integration.

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Q: Find the indefinite integral. (Use C for the constant of integration.) cos 2x dx

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Q: Evaluate the integral | 2 cos(In(x)) dx, x > 0 Note: Use an upper-case "C" for the constant of…

A: Given information: The integral is ∫ 2coslnxdx. Concept used: Integration by parts: ∫udv=uv-∫vdu…

Q: Find the indefinite integral. (Use C for the constant of integration.) sin x dx 3 + cos x

A:

Q: Evaluate the integral. (Use C for the constant of integration.) | (x – 3)sin(xx) dx

A: The given integral:∫x-3sinπxdxWe need to evaluate the above integral.We will use integral by parts…

Q: Find the indefinite integral. (Use C for the constant of integration.) Vtan(8x) sec?(8x) dx +C x

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Q: Evaluate the integral. (Use C for the constant of integration.) integral of 2 cos(θ)…

A: To determine the value of the integral.