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

" 43."int_(0)^( pi/2)(1+2cos x)/((2+cos x)^(2))=

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

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

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

I=int_(0)^((pi)/(2))(2cos x+3)/((cos x+3)^(2))dx

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

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

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

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