` int e^(3x) (x+1) dx`

int e^(3x)dx

int (4e^(3x) +1)dx

Evaluate: int e^(2x)sin(3x+1)dx

(i) int e^(3x) cos 5x dx (ii) int e^(3x) sin 4x 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)((x-1)/(x^(2)))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(x e^(x))/((1+x)^(2))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)(x+1)dx = __________.

Evaluate :int e^(2x)*sin(3x+1)dx

(i) int (dx)/(e^x+e^(-x)) (ii) int e^x/(e^(2x)+1) dx

Evaluate: int e^(x)(x-1)/((x+1)^(3))dx