Question: If f(x) is positive and has a continuous derivative, we can define the surface area of the surface obtained by rotating the eurve y=f(x) for

If f(x) is positive and has a continuous derivative, we can define the surface area of the surface obtained by rotating the eurve y=f(x) for axb, nbout the x-nxis ar S=ab2f(x)1[f'(x)]22dx. Find the area of the surface obtained by rotating the curve y=4-x22 for -1x1 about the x-axis. (5 pts)Find the area of the region boundod by the parabola y=x2, the tangent line to this parabola at (1,1), and the x-axis. (5 pts )Evaluate -66sinxxcosx1x2sin2xdx. Hint: sinx is an odd function and cos x is an even function. (5 pts)

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