" 6.(i) "int_(0)^( pi)(dx)/((1+2sin^(2)x))

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

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

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

int_(0)^( 2 pi)(dx)/(1+2^{sin x})

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

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

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

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

int_(0)^(pi/2) sin^(-1)(sin x)dx