`int_0^1(3x^2+5x)dx`

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

int_0^2(3x^2+4x-5)dx=?

int_0^5(x^2+3x)dx =

int_0^2(3x-5)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?

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

int_0^1(2^(2-3x))dx=?

int_0^7|x^2-5x|dx=?

int_(1)^(3)5x^(2)dx