By using integration by parts, one can prove the reduction formula. | (In(x))" dx = x(In(x))" – n/ (In(x))" - 1 dx Use this formula to find 9/ (In(x))3 dx. (Use C for the constant of integration.)

Q: Find the indefinite integral. (Use C for the constant of integration.) |(2x - 1)(6x2 - 6x + 1)/3 dx

A: Using method of substitution

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

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Q: Select the basic integration formula you can use to find the indefinite integral.…

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Q: Find the indefinite integral. (Use C for the constant of integration.) 8 – ex e3x

A: Given that: ∫8-exe3x.dx

Q: Evaluate the indefinite integral. (Use C for the constant of integration.) x3 dx 1 + x8

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Q: How would you solve integration by parts: ln(x)/x^6 dx with upper limit of 4 and lower limit of 1

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Q: Find the indefinite integral. (Use C for the constant of integration X +18 dx

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Q: Evaluate the indefinite integral. (Use C for the constant of integration.) (7+5x)/(1+x2)  dx

A: Integrand, I = (7 + 5x) / (1 + x2) This can be split into two terms:  I = 7/(1 + x2) + 5x/(1 + x2)

Q: Find the indefinite integral using the formulas from Theorem 5.25. (Use C for the constant of…

A: Given:      ∫51+e2xdx

Q: Find the indefinite integral. (Use C for the constant of integration.) 14(x – 1)6 dx

A: Consider the given integral ∫14x-16dx. Integrate the given integral  with respect to x as follows.…

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

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Q: Evaluate the indefinite integral. (Use C for the constant of integration.) x(2x + 5)8dx

A: Explained below

Q: Evaluate the indefinite integral. (Use C for the constant of integration.) x(4x + 7)8dx

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Q: Find the indefinite integral. (Use C for the constant of integration.) 100 – 4x2 dx -

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Q: Find the indefinite integral. (Use C for the constant of integration.) 5 dx x/ 25 - (In x)2

A: Use substitution method

Q: dx 24 - x2

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

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

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Q: Evaluate the indefinite integral. (Use C for the constant of integration.) x(6x + 7)8dx

A: Given:

Q: Evaluate the indefinite integral. (Use C for the constant of integration.) x(2x + 7)8dx

A:

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: Find the indefinite integral. (Use C for the constant of integration.) x(1 – 7x2)4 dx

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Q: Evaluate the indefinite integral. (Use C for the constant of integration.) ot dx 1 + x20

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

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Q: Find the indefinite integral. (Use C for the constant of integration.) 1. x – 12x + 55

A: We need to evaluate the following integral I = ∫1x2-12x+55dx Formula Used : ∫1x2+a2dx = 1atan-1xa

Q: Evaluate the indefinite integral. (Use C for the constant of integration.) X³VX2 + 19 dx

A:

Q: Evaluate the indefinite integral. (Use C for the constant of integration.) x² + 23 dx

A: Given ∫x3x2+23dx

Q: Find the indefinite integral. (Use C for the constant of integration.) 9x° + 5 (+9 dx (x° + 5x)-

A: To evaluate the given indefinite integral.

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

A: Given integral,      ∫7xe5x2dx

Q: If ∫ba f(x)dx=∫2-7 f(x)dx+∫52 f(x)dx- ∫-4-7 f(x)dx, what are the bounds of integration for the…

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Q: Find the indefinite integral. (Use C for the constant of integration.) 5 8x3 + x2 X dx

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Q: Evaluate the indefinite integral. (Use C for the constant of integration.) dx 1 + x20

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Q: Calculate the integral. (Use C for the constant of integration.)   dx x   4x4 − 1

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Q: Evaluate the indefinite integral. (Use C for the constant of integration.) /(6 - 5x)8 dx

A: Given:

Q: Use integration by substitution and the Fundamental Theorem to evaluate the definite integral. 2 |…

A: Use substitution method

Q: q² In(x³ + 1) dx

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Q: 7. Evaluate the integral. (Use C for the constant of integration.) √x² - 25 x² - dx

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Q: Use integration by parts to find the indefinite integral ∫ln√( x2 − 4) dx

A: the integral given to us can be written as  ∫ln(x2-4)1/2 =12∫ln(x2-4)1/2 the formula used in by…

Q: Use integration by parts to evaluate the integral: ∫ln(x)/x^6 dx with upper limit of 4 and lower…

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Q: Find the indefinite integral. (Use C for the constant of integration.) 7 dx 49 - (In x)2

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Q: Evaluate the indefinite integral. (use C for the constant of integration.)   ∫(−7x3+2x2+5x+3)/(x) *…

A: To evaluate

Q: Find the indefinite integral. (Use C for the constant of integration.) (15. (15x38x) dx

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Q: Find the indefinite integral. (Use C for the constant of integration.) "(-4x³) dx

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

A: We have to find the indefinite integral ∫cosh8x dx.

Q: Evaluate the indefinite integral. (Use C for the constant of integration.) x5 dx 1 + x12

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Q: By using integration by parts, one can prove the reduction formula. | (In(x))" dx = x(In(x))" – n /…

A: This question is about application of integration

Q: | (In x)² dx_use integrationI

A:

Q: Evaluate the indefinite integral. (Use C for the constant of integration. | (5 - 4x)10 dx

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