" (8) "int_(0)^((pi)/(6))(2+3x^(2))*cos3ndn

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int_(0)^((pi)/(6))cos3xdx

int_(0)^(pi//6)(2+3x^(2))cos3x dx=

int_(0)^((pi)/(6))cos x*cos2xdx=

(i) int_(0)^(pi//2) x sin x cos x dx (ii) int_(0)^(pi//6) (2+3x^(2)) cos 3x dx

int_(0)^((pi)/(2))sin^(2)x cos^(3)xdx=

" (3) "int_(x=0)^(pi/2)cos xdx

int_(0)^((pi)/(2))cos x cos3xdx

" 2) "int_(0)^( pi)(1+cos x)^(3)dx