Integration by Parts: Example 1
About the Lecture
The lecture Integration by Parts: Example 1 by Batool Akmal is from the course Advanced Integration.
Included Quiz Questions
Which type of integral format is solved using the integration by parts method ?
- ∫ f(x) g(x) dx
- ∫ f(x) + g(x) dx
- ∫ f(x) - g(x) dx
- ∫ f(g(x)) dx
- ∫ f(x) / g(x) dx
What is the formula for integration by parts?
- ∫ uv' dx = uv - ∫ vu' dx
- ∫ uv' dx = uv + ∫ vu' dx
- ∫ uv' dx = uv - ∫ vu dx
- ∫ uv' dx = uv + ∫ vu dx
- ∫ uv' dx = uv - ∫ v'u dx
When using integration by parts to evaluate the integral ∫x³sin(x) dx, how should u and v' be chosen?
- u = x³ and v' = sin(x)
- u = x² sin(x) and v' = x
- u = x³sin(x) and v' = 1
- u = x³ and v' = cos(x)
- u = x² and v' = x sin(x)
What is the result of the following integral, ∫ x e^(2x) dx ? Use integration by parts.
- [2x - 1] [e^(2x) / 4] + c
- [2x - 1] [e^(x) / 4] + c
- [2x - 1] [e^(x) / 2] + c
- [2x - 1] [e^(2x) / 2] + c
- [x - 1] [e^(2x) / 2] + c
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Author of lecture Integration by Parts: Example 1
Batool Akmal
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