Find the indefinite integral S(2x2 – 1) sin(5x) dx using integration by parts.

Q: Evaluate the integral.  integral  2x sin  2 x x dx

A:

Q: Use the basic integration rules to find or evaluate the integral ∫x2 √(x3 − 27) dx

A: Now put

Q: Find the integral of x^2 * cos(4x) dx.

A: To compute the indefinite integral.

Q: Evaluate the integral: integral from 0 to Pi/2 of cos^3(x)*sin^(2/3)(x)dx

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Q: Evaluate the indefinite integral. (Use C for the constant of integration.) sin(2x) dx 27 + cos (x)

A:

Q: evaluate the integral: integral of 8x*sin^2(x)dx

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

A: Answer is given below....

Q: Evaluate the indefinite integral. (Use C for the constant of integration.) | Vx19 sin(4 + x21/2) dx…

A: Since the exact one wasn't specified we'll answer the first question only. Please resubmit a new…

Q: Find the general indefinite integral. (Use C for the constant of integration.) (7x2 + 5x-2) dx

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Q: x sin¬1 x² dx

A:

Q: Evaluate the integrals

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Q: Evaluate the indefinite integral. (Use C for the constant of integration.) ∫(sin…

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Q: Find the general indefinite integral. (Use C for the constant of integration.) 4x - 9/x dx

A: To find the indefinite integral: ∫4x3-9xxdx Solution: Evaluating the given integral.…

Q: calculate the integral.

A: Given integral is WE will use following substitution to evaluate the integral.

Q: Evaluate the indefinite integral. (Use C for the constant of integration.) tan-(5x) dx 1 + 25x2 1 2…

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Q: Use integration by parts to evaluate the integral sin(10x)/e^2x dx

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

A:

Q: dx 2 sin x+3 cos x-5

A: Here we going to use some arrangements, look at the all steps carefully

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 integral. S-x cos(3x) dx

A: Use integration by parts method

Q: Find the indefinite integral. (Use C for the constant of integration. sin 4x sin 3x dx sin x sin 7x…

A: Solution is given in step 2

Q: Evaluate the indefinite integral. (Use C for the constant of integration.) | sin(76) sec (cos(7)) dt

A:

Q: Find the general indefinite integral. (Use C for the constant of integration.) 7x2 ) dx

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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: Evaluate the indefinite integral. (Use C for the constant of integration.) cos(x) sin20(x) dx

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Q: Find the general indefinite integral. (Use C for the constant of integration.) / (2x² + * + dx x2 +…

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Q: Find the general indefinite integral. (Use C for the constant of integration.) (5x2 + 6x-2) dx

A:

Q: Find the general indefinite integral. (Use C for the constant of integration.) 2 4x2 + 8 + dx x2 + 1

A:

Q: Evaluate the integral.  integral  (1- sinx )/ cos x  dx

A: ∫1-sinxcosx dx

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

A: Let, u=x and dv=cos(6x)

Q: Evaluate the integrals.∫x2 cos x3 dx

A: We have  I=∫x2cosx3 dx                          ⋯⋯(1)   Let  x3=t3x2du=dtx2du=dt3 put in equation…

Q: Find the indefinite integral using the substitution x = 3 sin(0). (Use C for the constant of…

A:

Q: Find the general indefinite integral. (Use C for the constant of integration.) 3 8x2 + 7 + dx x2 + 1

A: Given : ∫8x2 + 7 + 3x2+1dx

Q: Evaluate the indefinite integral. (Use C for the constant of integration.) tan-(5x) dx 1 + 25x2

A: To evaluate the given integral:

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

A:

Q: Evaluate the indefinite integral. (Use C for the constant of integration.) cos(x)/sin^20(x)    dx

A:

Q: Evaluate the integrals ∫(sin-1 x)2 dx

A: The given integral is To solve the given integral, use integration by parts method where

Q: Find the general indefinite integral. (Use C for the constant of integration.) + 8x + 7) dx

A:

Q: cos xdx 10. sin x

A: According to definition ∫f(x)dx=F(x), where dFdx=f(x).The function F(x) is called the antiderivative…

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

A:

Q: Find the general indefinite integral. (Use C for the constant of integration.) sin 2x 9. dx sin x

A: Explanation of the answer is as follows

Q: Use the basic integration rules to find or evaluate the integral ∫x/ 3√(4 − x2) dx

A: The given integral is ∫x4-x23dx.

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

A:

Q: Evaluate the integral - dx · 1- sin x cos X

A: The given integral,       ∫cos x1-sinxdx

Q: Find the integral. e4x sin(6x)dx =

A: To find the integration.

Q: Find the indefinite integral. J. x cos 107Tx2 dx

A:

Q: Evaluate the integral. (Use C for the constant of integration.) cos(x) (4 + 8 sin²(x)) dx

A: Solve the intregal

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

A: In this question we have to evaluate the integral.