http://www.ck12.org Chapter 7. Integration Techniques
and Trigonometric Substitutions, Part 2, Just Math Tutoring (4:20).
MEDIA
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Review Questions
Evaluate the integrals.
1.∫
√
4 −x^2 dx
2.∫ √ 91 +x 2 dx
3.∫ √ 1 x−^3 x 2 dx
4.∫ √ 1 −^19 x 2 dx
5.∫x^3
√
4 −x^2 dx
6.∫x 2 √x^12 − 36 dx
7.∫(x (^2) +^125 ) 2 dx
8.∫ 04 x^3
√
16 −x^2 dx
9.∫−^0 πex
√
1 −e^2 xdx(Hint:First useu−substitution, lettingu=ex)
- Graph and then find the area of the surface generated by the curvey=x^2 fromx=1 tox=0 and revolved
about thex−axis.