`int_(0)^(1)x^2dx`

Evaluate int_(0)^(1)x^(2)dx as the limit of a sum.

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

int_(0)^(1)x e^(x^(2)) dx

Evaluate :- int_(0)^(1)(3x^(2)+4)dx

int_(0)^(1)x^(2)(1-x)^(3)dx is equal to

Evaluate: int_(0)^(1)(xe^(x))/(1+x)^(2) dx

Evaluate : int_(0)^(1)a^(2-3x)dx , as limit of sums .

If int_(0)^(1)e^(x^(2))(x-a)dx=0 , then the value of int_(0)^(1)e^(X^(2))dx is euqal to

int_(0)^(1.5) [x^(2)]dx is equal to

If I_(1)=int_(0)^(1) 2^(x^(2)) dx, I_(2)=int_(0)^(1) 2^(x^(3)) dx, I_(3)=int_(1)^(2) 2^(x^(2))dx and I_(4)=int_(1)^(2) 2^(x^(3))dx then