`int_(0)^(a)(ax-x^(3))dx`

Evaluate int_(0)^(3)(x^(3)-6x)dx

int_(0)^(3)(x^(2)+1)dx

int_(0)^(3)(x^(2)+1)dx

If int_(0)^(oo) e^(-x^(2))dx=sqrt((pi)/(2))"then"int_(0)^(oo) e^(-ax^(2)) dx, a gt0 , s

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

int_(0)^(10)3^(x-[x])dx

int_(0)^(16)x^(3//4)dx

prove that : int_(0)^(2a) f(x)dx = int_(0)^(a) f(x)dx + int_(0)^(a)f(2a-x)dx

"I=int_(0)^(3)(x^(3)-2x+3)*dx

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