Integration: Exercise 2
About the Lecture
The lecture Integration: Exercise 2 by Batool Akmal is from the course Advanced Integration.
Included Quiz Questions
To evaluate the integral ∫x²eˣ dx using the integration by parts method, how should u and v' be chosen?
- u = x² and v' = eˣ
- u = x and v' = xeˣ
- u = eˣ and v' = x²
- u = xeˣ and v' = x
- u = x²eˣ and v' = 1
What is the evaluation of the indefinite integral ∫x²eˣ dx ? Use integration by parts.
- (x² - 2x + 2)eˣ + c
- (x² + 2x + 2)eˣ + c
- (x² - 2x - 2)eˣ + c
- (x² - 2x + 1) eˣ + c
- (x² - x + 2) eˣ + c
What is the evaluation of the indefinite integral ∫(x+1) cos(3x) dx ? Use integration by parts.
- (1/3) (x + 1) sin(3x) + (1/9)cos(3x) + c
- (-1/3)(x + 1)cos (3x) + (1/3)sin (3x) + c
- (-1/3)(x + 1) cos (3x) - (1/9)sin (3x) + c
- (-1/3)(x + 1) cos (3x) - (1/3)sin (3x) + c
- (-1/9)(x + 1)cos (3x) - (1/9)sin (3x) + c
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Author of lecture Integration: Exercise 2
Batool Akmal
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