int e^(x)(csin x+cos x)dx

Evaluate: (i) int e^(x)((1)/(x)-(1)/(x^(2)))dx (ii) int e^(x)(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 =

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

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

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

Integrate : int e^(x)(sin x + cos x) dx

int e^x (sin x + cos x)dx is equal to :

Evaluate: int e^x (sin x+ cos x) dx

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