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

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

Evaluate: int_0^1 e^(2-3x) dx

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

Evaluate: int_0^1 1/(2x-3)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_-1^1 (sinx+x^2)/(3-|x|)dx= (A) 0 (B) 2int_0^1 sinx/(3-|x|)dx (C) 2int_0^1 x^2/(3-|x|)dx (D) 2int_0^1 (sinx+x^2)/(3-|x|)dx

int_-1^1 (sinx+x^2)/(3-|x|)dx= (A) 0 (B) 2int_0^1 sinx/(3-|x|)dx (C) 2int_0^1 x^2/(3-|x|)dx (D) 2int_0^1 (sinx+x^2)/(3-|x|)dx