Integration: Exercise 1
About the Lecture
The lecture Integration: Exercise 1 by Batool Akmal is from the course Advanced Integration.
Included Quiz Questions
To evaluate the integral ∫ln(x)dx using the integration by parts method, how should u and v' be chosen?
- u = ln(x) and v' = 1
- u = xln(x) and v' = 1/x
- u = 1 and v' = ln(x)
- u = 1/x and v' = xln(x)
- u = x and v' = ln(x)/x
What is the evaluation of the indefinite integral ∫ln(x)dx ? Use integration by parts.
- xln(x) - x + c
- xln(x) + x + c
- ln(x) - x + c
- ln(x) + x + c
- ln(x) - x
What is the evaluation of the indefinite integral ∫x²sin(4x)dx ? Use integration of parts two times.
- -(1/4)x²cos(4x) + (1/8)xsin(4x) + (1/32)cos(4x) + c
- -(1/4)x²cos(4x) - (1/8)xsin(4x) + (1/32)cos(4x) + c
- -(1/4)x²cos(4x) + (1/4)xsin(4x) + (1/16)cos(4x) + c
- +(1/4)x²cos(4x) - (1/8)xsin(4x) - (1/32)cos(4x) + c
- -(1/2)x²cos(4x) + (1/4)xsin(4x) + (1/16)cos(4x) + c
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Author of lecture Integration: Exercise 1
Batool Akmal
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