Integration by Substitution
About the Lecture
The lecture Integration by Substitution by Batool Akmal is from the course Advanced Integration.
Included Quiz Questions
What is the expression 2x² + cos(x²) in terms of u when substituting x² = u ?
- 2u + cos(u)
- 2√u + cos(√u)
- 2u² + cos(u²)
- 2u + sin(u)
- u + cos(u)
To solve the indefinite integral ∫2x²sin(x³) dx by substitution, how should the u variable be chosen in terms of x?
- u = x³
- u = x²
- u = x
- u = x + 1
- u = √x
What is the evaluation of ∫2x sin (x²) dx?
- -cos(x²) + c
- cos(x²) + c
- -cos (x) + c
- cos(x) + c
- -cos(u²) + c
What is the value of the definite integral ∫ 2x(x² + 1) dx with lower and upper limits of 0 and 1, respectively ?
- 3/2
- 1/2
- 3
- 4/3
- 3/4
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Author of lecture Integration by Substitution
Batool Akmal
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