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" 82."int tan^(-1)sqrt((1-sin x)/(1+sin ...

" 82."int tan^(-1)sqrt((1-sin x)/(1+sin x))dx-(pi)/(2)

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Evaluate int tan^(-1) { sqrt((1-sin x)/(1+ sin x ))} dx , -pi/2 lt x lt pi/2

Differentiate the following functions with respect to x:tan^(-1){sqrt((1+sin x)/(1-sin x))},-(pi)/(2)

Differentiate the following functions with respect to x:tan^(-1){sqrt((1+sin x)/(1-sin x))},-(pi)/(2)

int_(0)^( pi//2)sqrt((1-sin2x)/(1+sin2x))dx

int_(0)^(pi//4)sqrt((1-sin2x)/(1+sin 2x))dx=

int_0^1 sin(2tan^(-)sqrt((1+x)/(1-x))) dx

If y= tan ^(-1) sqrt (( 1 - sin x)/( 1 + sin x)) , then the vluae of (dy)/(dx) at x = pi /2 is

int_(0)^(pi//4)[sqrt([1-sin2x)/(1+sin2x)]dx=