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int(0)^(pi//2)(sqrt(sinx))/((sqrt(sinx)+...

`int_(0)^(pi//2)(sqrt(sinx))/((sqrt(sinx)+sqrt(cosx)))dx=(pi)/(4)`

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STATEMENT-1 : int_(-3)^(3)|x|dx=9 STATEMENT-2 : int_(0)^(1)tan^(-1)xdx=(pi)/(4)-lnsqrt(2) STATEMENT-3 : int_(0)^(pi//2)(sqrt(cosx))/(sqrt(sinx)+sqrt(cosx))dx=(pi)/(4)

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Evalaute int_(pi//6)^(pi//3)(sqrt((sinx))dx)/(sqrt((sinx))+sqrt((cosx)))

int_((pi)/(18))^((4pi)/(9))(2sqrt(sinx))/(sqrt(sinx)+sqrt(cosx))dx= . . .

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