Find x if `In e^(2 cos^2 x-1)=cos x,` for `0 < x lepi`

Find int (e^x(1+x))/(cos^2(e^x x)) dx

Find int(e^x(1+x))/(cos^2(x e^x))dx

Find int(e^x(1+x))/(cos^2(x e^x))dx

Evaluate int e ^ (cos x) (x sin ^ (3) x + cos x) cos ec ^ (2) xdx

Evaluate the following limit : lim_(x rarr pi/2)(e^(cos x)-1)/(cos x) .

Find the area bounded by the curves y=(sin^(-1)(sin x)+cos^(-1)(cos x)) and y=(sin^(-1)(sin x)+cos^(-1)(cos x))^(2) for 0<=x<=2 pi

int (sin x * e ^ (cos x) - (sin x + cos x) e ^ (sin x + cos x)) / (e ^ (2sin x) -2e ^ (sin x) +1) dx

Evaluate the following : lim_(x rarr 0)(cos 2x-1)/(cos x-1) .

Evaluate lim_(x rarr 0) (cos 2x - 1)/(cos x - 1)

Evaluate int_(0)^(pi//2) (cos^2 x)/(1+sin x cos x)dx .