int e^(x)([1+sin x cos x])/(cos^(2)x)dx

The value of int e^(x)((1+sin x cos x)/(1+cos2x))dx is

int e^(2x) sin x cos x dx

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

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

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

int(e^(x)+2sin x-3cos x)dx

The value of int e^((x sin x+ cos x)).((x^(4)cos^(3)x-x sin x + cos x)/(x^(2)cos^(2) x)) dx , is equal to

int(1)/(4sin^(2)x+4sin x cos x+5cos^(2)x)dx

"int e^(sin x)((x cos^(2)x-sin x)/(cos^(2)x))dx