`int_0^2(3x^2-4)dx`

Evaluate the following integrals as limit of sum: int_0^2(3x^2-2)dx

prove it 2e^(-1/4) < int_0^2e^(x^2-x)dx < 2e^2

Evaluate: int_0^1(3x^2+5x)dx

Prove that int_-2^2 f(x^4)dx=2int_0^2 f(x^4)dx

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?

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

Evaluate int_0^2(x^2+3) dx as limit of sums.

(5)Value of int_(0)^(2)3x^(2)dx+int_(0)^(pi//2)sinxdx is

int_0^2 3x^2 dx

int_0^2 e^(x/2) dx