http://www.ck12.org Chapter 5. Applications of Definite Integrals
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URL: http://www.ck12.org/flx/render/embeddedobject/569For an additional video presentation of the area between two curves(14.0)(16.0), see Just Math Tutoring, Finding
Areas Between Curves (9:51).
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URL: http://www.ck12.org/flx/render/embeddedobject/570Review Questions
In problems #1 - 7, sketch the region enclosed by the curves and find the area.
1.y=x^2 ,y=√x,on the interval[ 0. 25 , 1 ]
2.y= 0 ,y=cos 2x,on the interval[π 4 ,π 2 ]
3.y=|− 1 +x|+ 2 ,y=− 51 x+ 7
4.y=cosx,y=sinx,x= 0 ,x= 2 π
5.x=y^2 ,y=x− 2 ,integrate with respect toy
6.y^2 − 4 x= 4 , 4 x−y=16 integrate with respect toy
7.y=8 cosx,y=sec^2 x,−π/ 3 ≤x≤π/ 3- Find the area enclosed byx=y^3 andx=y.
- If the area enclosed by the two functionsy=kcosxandy=kx^2 is 2,what is the value ofk?
- Find the horizontal liney=kthat divides the region betweeny=x^2 andy=9 into two equal areas.