CK-12-Calculus

(Marvins-Underground-K-12) #1

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


and Trigonometric Substitutions, Part 2, Just Math Tutoring (4:20).


MEDIA


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URL: http://www.ck12.org/flx/render/embeddedobject/609

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)


  1. Graph and then find the area of the surface generated by the curvey=x^2 fromx=1 tox=0 and revolved
    about thex−axis.

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