int(0)^( pi/2)(1+2cos x)/((2+cos x)^(2))...

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

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If int_(0)^( pi)(1)/(a+b cos x)dx=(pi)/(sqrt(a^(2)-b^(2))), then int_(0)^( pi)(1)/((a+b cos x)^(2))dx is

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

int_(0)^( pi)|cos x|dx=2

If A=int_(0)^( pi)(cos x)/((x+2)^(2))dx, then int_(0)^( pi/2)(sin2x)/(x+1)dx is equal to

int_(0)^( pi)sin^(3)x(1+2cos x)(1+cos x)^(2)dx

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

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

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