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`(1-sinx)/(1+sin x)`

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Find int (2cosx)/((1-sinx)(1+sin^2x)) dx

int(sinx)/(1+sin x) dx

If sum of the series 1+x log_(|(1-sinx)/(cos x)|)((1+sin x)/(cos x))^(1//2)+x^(2) log_(|(1-sinx)/(cosx)|)((1+sinx)/(cosx))^(1//4)+...oo (wherever defined) is equal to (k(1-x))/((2-x)) , then k is equal to

If sum of the series 1+x log_(|(1-sinx)/(cos x)|)((1+sin x)/(cos x))^(1//2)+x^(2) log_(|(1-sinx)/(cosx)|)((1+sinx)/(cosx))^(1//4)+...oo (wherever defined) is equal to (k(1-x))/((2-x)) , then k is equal to

If sum of the series 1+x log_(|(1-sinx)/(cos x)|)((1+sin x)/(cos x))^(1//2)+x^(2) log_(|(1-sinx)/(cosx)|)((1+sinx)/(cosx))^(1//4)+...oo (wherever defined) is equal to (k(1-x))/((2-x)) , then k is equal to

Evaluate the following integrals: int(1+sinx)/(sin x(1+cosx))dx

(cosx)/((1-sinx)(2-sinx)) [Hint : Put sin x = t]

(cosx)/((1-sinx)(2-sinx)) [Hint : Put sin x = t]

(cosx)/((1-sinx)(2-sinx)) [Hint : Put sin x = t]

Evaluate: int(sin2x)/((1+sinx)(2+sinx)\ dx