`int (e^x + sin x + 1/x) dx`

int e^x sin 2x dx

int e^(x) sin x dx .

int e^(2x) sin x dx

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

int e^(2x) sin x cos 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 =

If int (e ^(x) (1+ sin x )dx)/( 1+ cos x ) = e ^(x) f (x) + C, then f (x) is equal to

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

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

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