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

Let sum_(k=1)^(89)cos^(6)(k^(@))=A then (A)A>int_(0)^((pi)/(2))cos^(6)theta d theta(B)A in[20,30](C)A<((180)/(pi))int_(0)^((pi)/(2))cos^(6)theta d theta(D)A

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

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/2)cos^(9)theta d theta

int_(0)^( pi/2)cos^(9)theta d theta

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

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

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

int_(0)^((pi)/(2))(cos theta-sin theta)/((1+cos theta)(1+sin theta))d theta equals -