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" () "int(0)^( pi/2)(sin^(2)x)/(sin x+co...

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

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Evaluate: int_(0)^((pi)/(2))(sin^(2)x)/(1+sin x cos x)dx

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

Evaluate : int_0^(pi/2)(sin^2x)/(sin x+cos x)dx

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

(sin 2 kx)/(sin x)=2[cos x + cos 3 x + …+cos (2k -1)x] , then value of I=int_(0)^(pi//2)(sin 2 k x)/(sin x)cos x dx is :

(sin 2 kx)/(sin x)=2[cos x + cos 3 x + …+cos (2k -1)x] , then value of I=int_(0)^(pi//2)(sin 2 k x)/(sin x)cos x dx is :

If int_(0)^((pi)/(2))(dx)/(1+sin x+cos x)=In2, then the value of int_(0)^((pi)/(2))(sin x)/(1+sin x+cos x)dx is equal to: