Evaluate the integral x cos(3x) dx Note: Use an upper-case "C" for the constant of integration

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

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Q: | cos(In x) dx

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

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Q: Evaluate the integral. (Use C for the constant of integration.) | (x2 - x) dx

A: We can solve the indefinite integration.

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

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Q: Evaluate the integral. (Use C for the constant of integration.) 10e-0.7x dx

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Q: Evaluate the integral. (Use C for the constant of integration.) 1 - 4x2 dx

A: Given that∫ 1-4x2 dxwe need to evaluate it

Q: First make a substitution and then use integration by parts to evaluate the integral. (Use C for the…

A: I = ∫ x ln (5+x) dxLet  5 + x = u       dx  = duand,          x = 4 - 5

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: | (3x – 2)2 dx.

A: Since you have asked multiple question, we will solve the first question for you as per our guide…

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

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Q: First make a substitution and then use integration byparts to evaluate the integral. integral cos…

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Q: Evaluate the integral. (Use C for the constant of integration.) 8x2 dx

A: Explanation of the solution is given below....

Q: Find the indefinite integral. (Use C for the constant of integration.) 6 cosh(Vx) xp

A: The given integral is∫6coshxxdxwe will solve the above integral using substitution method.

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

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Q: Use trigonometric substitution to find or evaluate the integral. (Use C for the constant of…

A: ∫x36+x2dx=12∫x26+x2.2x.dxLet, u=6+x2     .... (u-6=x2)…

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

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

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Q: Evaluate the integral. (Use C for the constant of integration.) sin(8x) cos(5x) dx

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Q: Evaluate the integral 8 dx x² V25 – x2 Note: Use an upper-case "C" for the constant of integration.

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Q: Find the integral. (Use C for the constant of integration.) (x6 + 5-×) dx

A: In this question, we need to find the integral of given function.

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 integral. (Use C for the constant of integration.) 6x 6 dx

A: We have to solve integration by using exponential integral formula.

Q: Evaluate the integral. (Use C for the constant of integration.) tan (x) cos7(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.) 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: Evaluate the integral. (Use C for the constant of integration.) x cos(6x) dx

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

Q: Find the indefinite integral. (Use C for the constant of integration.) 5 cosh(Vx) xp

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Q: Evaluate the integral | -3(1 – tan?(x)) sec2 (x) dx Note: Use an upper-case "C" for the constant of…

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Q: Evaluate the integral. (Use C for the constant of integration.) x2 - 64 dx

A: The given integral is ∫x2-64x3dx. Let us assume u=x2-64 and v'=1x3. Differentiate u with respect to…

Q: Evaluate the integral ∫6x^2−4/(x^3−2x−8) dx       Note: Use an upper-case "C" for the constant of…

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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.) 3e6 dx

A: We have to evaluate the integral  ∫ 3e6 dx

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

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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.) (7 – 17x) dx

A: We can solve the indefinite integration.

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

A: Use the method for integration by parts to determine the given integral. I=∫cos−1xdxLet…

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

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

A: The given integral,       ∫cos x1-sinxdx

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

A: We have to find

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

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Q: Use the basic integration rules to find or evaluate the integral

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Q: Evaluate the integral. (Use C for the constant of integration.) | VER-X² dx 81 x

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

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