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int(0)^( pi/2)(sin x)/(sin x+cos x)dx=?...

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

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

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:

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

Given int_(0)^((pi)/(2))(dx)/(1+sin x+cos x)=ln2 then the value of the definite integral int_(0)^((pi)/(2))(sin x)/(1+sin x+cos x)dx is equal to

(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 :