`int (sin x - 2/x + e^x) dx`

int sin2x . e^(cos^2x) dx

int e^x sin 2x dx

int e^(x) sin x dx .

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

int e^(2x) sin x dx

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

int _ (- pi) ^ (pi) (e ^ (sin x)) / (e ^ (sin x) + e ^ (- sin x)) dx

Read the following text and answer the followig questions on the basis of the same : inte^(x)[f(x) + f'(x)]dx = int e^(x)f(x)dx + int e^(x) f'(x)dx = f(x)e^(x) - int f'(x)e^(x)dx + int f'(x)e^(x)dx = e^(x)f(x) + c int e^(x)(sin x + cos x)dx =

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