U-substitution Worksheet with Answer Key

What's on the worksheet

1. Find each indefinite integral by a substitution.
   \displaystyle\int \dfrac{8}{(2x + 5)^3}\,dx\displaystyle\int x^4 e^{x^5}\,dx\displaystyle\int \sec^2 x\tan^3 x\,dx\displaystyle\int \dfrac{dx}{x\ln x}
2. Find 3x(9 - x²)^5dx.
3. In each integral the natural choice of u leaves a stray factor of x.
4. Evaluate each integral by a substitution, changing the limits of integration to u-values.
5. Ava runs an online chess club.