`int_(0)^(4)(x+e^(3x))dx`

int_(0)^(4)(x+e^(2x))dx

int_(0)^(1)x e^(x)dx=

int_(0)^(4)(2x+3)dx

Evaluate : int_(0)^(4)x.e ^(2x) dx

Evaluate int_(0)^(1)e^(2-3x)dx

Evaluate int_(0)^(1)e^(2-3x)dx

show that (a) int_(0) ^(2pi) sin ^(3) x dx = 0 , (b) int_(-1)^(1) e^(-x^(2)) dx = 2 int_(0)^(1) e^(-x^(2)) dx

If int_(0)^(1) x e^(x^(2) ) dx=alpha int_(0)^(1) e^(x^(2)) dx , hten

int e^(3x)dx