ST 552

Calculus on a Computer

Assignment 14 – Integration techniques

1. What substitution would you use to integrate Try this. Check your answer with MAPLE.

2. Repeat #1 for

3. Integrate by parts. Now integrate using MAPLE. Differentiate the answer, and point out how the product rule appears.

4. Integrate by parts. Integrate the result by parts again. Solve for .

5. Substitute into (Why?) Now integrate.

6. How would you integrate for ‘a’ a constant?

7. Integrate . (Hint: complete the square.)

8. Integrate (Partial fractions. Show your work and check using MAPLE.)

9. Repeat #8 for

10. Repeat #8 for