sigma(iii)log sqrt((1+cos^(2)x)/(1-e^(2x)))

Find the derivatives w.r.t. x : log sqrt((1+cos^(2)x)/(1-e^(2x)))

If y = log sqrt((1 + cos^2 x)/(1 - e^(2x))), find (dy)/(dx) .

[(d)/(dx)[log sqrt((1-cos2x)/(1+cos2x))]

int_(log sqrt(pi//2))^(log sqrt(pi))(e^(2x)sec^(2)((1)/(3)e^(2x)))dx=

(d)/(dx)log[sqrt((1-cos x)/(1+cos x))]=

int(sin2x)/(sin^(2)x+2cos^(2)x)dx(i)-log(1+sin^(2)x)+C(ii)log(1+cos^(2)x)+C( iii) -log(1+cos^(2)x)+C(iv)log(1+tan^(2)x)+C

int(sin2x)/(sin^(2)x+2cos^(2)x)dx(i)-log(1+sin^(2)x)+C(ii)log(1+cos^(2)x)+C( iii) -log(1+cos^(2)x)+C(iv)log(1+tan^(2)x)+C

[" (v) Differentiate "log[(sqrt(1+x^(2))+x)/(sqrt(1+x^(2))-x)]" w.r.t."],[cos(log x)]

If int(1+xcosx)/(x(1-x^(2)e^(2sinx)))dx = k" ln "sqrt((x^(2)e^(2 sinx))/(1-x^(2)e^(2sinx)))+C then k is equal to: