Q1: Evaluate the integral using integration by part (x² + 1)e*dx =

Q: Evaluate the integral. (Use C for the constant of integration.) dx 81 - x2

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Q: Evaluate the integral. (Use C for the constant of integration.) x5 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 integrals using integration by parts. ∫tan-1 y dy

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Q: Evaluate the integral. (Use C for the constant of integration.) (x2 + 2x) cos(x) dx

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Q: Evaluate the integral. (Use C for the constant of integration.) (x2 - 9x) dx

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Q: Evaluate the integral. (Use C for the constant of integration.) x² dx 81 - x2

A: Given,             ∫x281 - x2dx

Q: 7. Evaluate the integral using integration by parts. S cos (5x)e 2* dx.

A: Given the integrationI=∫cos(5x)e2xdx

Q: Evaluate the integral. (Use C for the constant of integration.) 7 V 1- sin(x) dx

A: Evaluating the indefinite integral

Q: Q1: Evaluate the integral using integration by part x² +1)e*dx =

A: We solve Given integral by part of integration

Q: Calculate the integral by interchanging the order of integration. 2, (x + 7e – 6) dx ) dy

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

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Q: Evaluate the integral. (Use C for the constant of integration.) x2 - 49 dx

A: Find your answer below

Q: Evaluate the integral. (Use C for the constant of integration.) (arctan(x))5 | x2 + 1 dx

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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: Evaluate the integral. (Use C for the constant of integration.) 9x 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: Evaluate the integral. (Use C for the constant of integration.) x²e&x3 dx

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Q: Evaluate the integral using the integration by parts: integral e^x sin xdx

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

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Q: 1. Evaluate the integral using integration by parts where possible. Z2 x In(8x)dx

A: we  have ∫12x*ln(8x) dx   we have to apply integration by parts ∫u v dx = u∫v dx −∫u' (∫v dx) dx…

Q: Evaluate the integral –4x3/2 In(x) dx, x >0 Note: Use an upper-case "C" for the constant of…

A: Evaluate the integral

Q: Evaluate the integral. (Use C for the constant of integration.) х dx x2 + x + 3

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Q: x³ + 3x dx. x2 + 1

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Q: Evaluate the integral. (Use C for the constant of integration.) √3x√1- 3x√ 1 - x4 dx

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Q: Evaluate the integral. (Use C for the constant of integration.) 7 dx x(x* + 1)

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Q: Evaluate the integral. (Use C for the constant of integration.) (x2 + 3x) cos(x) dx

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Q: 3. Evaluate the integral using integration by parts: |p° ln p dp

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Q: Evaluate the integral. (Use C for the constant of integration.) 3 + 2x - x2 dx

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Q: Evaluate the integral. (Use C for the constant of integration.) -2t te dt

A: Let the given function is:

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

A: To find the integration.

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

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Q: Evaluate the integral. (Use C for the constant of integration.) 7-6x - x² dx

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Q: Evaluate the integral. (Use C for the constant of integration.) 11 dx x²V 4x² - 1

A: Given integral ∫11dxx24x2-1=11∫dxx24x2-1 Now consider ∫dxx24x2-1 Use substitution method to solve…

Q: In x - dx

A: Given integral,           ∫eelnxx2dx

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

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Q: Evaluate the integrals using integration by parts. ∫ cos-1 (x/2) dx

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Q: Evaluate the integral. (Use C for the constant of integration.) (3* – 5*) dx

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Q: Evaluate the integral. (Use C for the constant of integration.) dx 5x(1 +5x)

A: Evaluate the integral using trigonometric substitution

Q: Evaluate the integral. (Use C for the constant of integration.) (3× – 5*) dx

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Q: dx J 3+1 3+ vx

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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. (Use C for the constant of integration.) At dt te-4t

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Q: Evaluate the integral. (Use C for the constant of integration.) dx 49 - x2

A: We have to find the integral

Q: dx V1-x -1

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Q: Evaluate the integral. (Use C for the constant of integration.) 25x-5 dx

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

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