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" 9."int(0)^( pi)(xdx)/(1+cos alpha sin ...

" 9."int_(0)^( pi)(xdx)/(1+cos alpha sin x)

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Prove that: int_(0)^( pi)(x)/(1-cos alpha sin x)dx=(pi(pi-alpha))/(sin alpha)

The value of the integral int_(0)^(pi) (xdx)/(1+cos alpha sinx), 0 lt alpha lt pi , is

int_(0)^(pi)( x dx)/(1+cos alpha sin x)[0 lt alpha lt pi]

int_(0)^( pi)(xdx)/(1+cos alpha*sin alpha)(0

int_ (0) ^ (pi) (xdx) / (1 + cos alpha * sin x) = (pi alpha) / (sin alpha), 0

int_(0)^( Evaluate: )(xdx)/(1+cos alpha sin x), where0

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

"int_(0)^( pi)x sin^(2)xdx

int_(0)^( pi/4)sin x cos xdx

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