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" 3."int(0)^((pi)/(2))cos^(4)theta d the...

" 3."int_(0)^((pi)/(2))cos^(4)theta d theta

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int_(0)^( pi/2)cos^(3)theta d theta

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The value of int_(0)^((pi)/(8))cos^(3)4 theta d theta is equal to -

int_(0) ^(pi//2) cos^(2) theta d theta =

int_(0)^(pi//8) cos^(3)4 theta d theta=

int_(0)^(pi//8) cos^(3)4 theta d theta=

Evaluate int_(0)^((pi)/(2))(cos theta d theta)/((sin theta +2)(sin theta +3)) .

int_(0)^( pi/2)sin^(3)theta d theta=

=4int_(0)^( pi&sol2)cos^(2)theta d theta