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" o."int(0)^( pi/2)(dx)/(4cos x+9sin x)...

" o."int_(0)^( pi/2)(dx)/(4cos x+9sin x)

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

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

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

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

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

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

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

Prove that: int_(0)^( pi/2)(sin x)/(sin x-cos x)dx=(pi)/(4)