`int_0^2|1-x^2|dx`

If int_0^1e^-x^2dx=a , then find the value of int_0^1x^2e^-x^2dx in terms of a .

int_(0)^(2)|1-x^(2)|dx

int_0^1(2-3x+x^2)dx

Evaluate : int_0^2(x^2+1)dx as limit of a sum.

Find int_0^2 (x^2+1)dx as the limit of a sum.

Evaluate int_0^2(x^2+1)dx as the limit of a sum

IfI_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 ,I_4=int_1^2 2^(x^3)dx , then which of the following is/are true?

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 , I_4=int_1^2 2^(x^3)dx then

If int_0^1e^-(x^2)dx=a , then find the value of int_0^1x^2e^-(x^2)dx in terms of a .