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" The value of "I=int(0)^( pi)(xdx)/(4co...

" The value of "I=int_(0)^( pi)(xdx)/(4cos^(2)x+9sin^(2)x)" is "

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int_(0)^(pi)(x dx)/(4 cos^(2)x+9sin^(2)x)=

int_(0)^(pi)(x dx)/(4 cos^(2)x+9sin^(2)x)=

int_(0)^(pi//2)(1)/(4cos^(2)x+9sin^(2)x)dx=

int_(0)^(pi//2)(1)/(4 cos^(2)x+9sin^(2)x)dx=

int_(0)^((pi)/(2))(1)/(4cos^(2)x+9sin^(2)x)dx=

int_(0)^( pi)x sin x cos^(2)xdx

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The value of int_(0)^(3(pi)/(2))cos^(4)3x*sin^(2)6xdx equals