Integration by Parts: Example 2
About the Lecture
The lecture Integration by Parts: Example 2 by Batool Akmal is from the course Advanced Integration.
Included Quiz Questions
What is the evaluation of the following integral, ∫ln(x) dx ? (Hint: use integration of parts with v' = 1, u = ln(x) )
- xln(x) - x + c
- x + c
- ln(x) + c
- x²ln(x) + c
- xln(x) + x +c
What is the evaluation of the following indefinite integral, ∫ ln²(x) dx ? (Hint: use integration of parts with v' = 1, u = ln²(x) )
- x ln²(x) - 2(x ln(x) - x) + c
- 2x ln²(x) - 2(x ln(x) - x) + c
- x ln²(x) - 2(x ln(x) - 1) + c
- x ln²(x) - 2x ln(x) + c
- x ln²(x) - (x ln(x) - x) + c
To evaluate the integral ∫x tan⁻¹(x) dx using integration by parts, how should u and v' be chosen?
- u= tan⁻¹(x) and v'=x
- u=x and v'=tan⁻¹(x)
- u=tan(x) and v'=x
- u=tan(x) and v'=x²
- u=x² and v'=tan⁻¹(x)
What is the result of the following integral, ∫x sin(6x) dx ?
- (-x/6)cos(6x) + (1/36)sin(6x) + c
- -xcos(6x) + (1/36)sin(6x) + c
- (x/6)cos(6x) + (1/36)sin(6x) + c
- (x/6)cos(6x) - (1/36)sin(6x)+c
- -6xcos(6x) + 36sin(6x) + c
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Author of lecture Integration by Parts: Example 2
Batool Akmal
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