U-Substitution:
This is kind of the opposite of the chain rule.
How to do it:
Integration By Parts:
This is kind of the opposite of the product rule, and it’s the last resort if U-sub doesn’t work
How to do it:
Integration by Parts, which order to choose “u”:
- Logs
- Inverse
- Algebric AKA polynomials
- Trigonometric
- Exponential
Definite Integrals with U-sub and Integration of Parts:
For U-sub you can put “u” back into the solution and then solve it, or you could create new bounds by plugging in the x-value into your “u” equation.
For Integration of Parts, simply just evaluate “u*v” from a to b and then also the integral from a to b.