Use Wolframalpha to find the exact volume of the solid obtained by rotating about x = [pi]/2 the region bounded by y = sin^2x, y = sin^4x, x in [0,[pi]/2]. [Notation: c in [a, b] means a leq c leq b.]

Step-by-step explanation:

Here the region between two curves is rotated about a vertical line.

The functions are

Intersecting points are x=0 and x =pi/2

Since rotated about x = pi/2 we get

using cylindrical shell method

Volume =

From wolfram alpha we find that

Volume=

step-by-step explanation:

answers available in this download

(pearson%2c%25202012)%2520bbs.pdf& usg=aovvaw1obmtxnfghfgxhx0urh_je

figure c

step-by-step explanation:

hope this .