CK-12-Calculus

http://www.ck12.org Chapter 7. Integration Techniques

e.∫ 0 π/^4 tanxdx

Evaluate the integral or state that it diverges.

2.∫ 1 ∞x 21. 001 dx

3.∫−−∞^2 [x−^11 −x+^11 ]dx

4.∫−^0 ∞e^5 xdx

5.∫ (^35) (x−^13 ) 4 dx
6.∫−π/π^2 / 2 tanxdx
7.∫ 01 √ 11 −x 2 dx

8. The region between thex−axis and the curvey=e−xforx≥0 is revolved about thex−axis.
   a. Find the volume of revolution,V.
   b. Find the surface area of the volume generated,S.