`"int_(-1)^(1) x^3 (x^(4) + 1)^3 dx`

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

int_(-1)^(1)(3x+4)dx

int_(-1)^3 |x|dx

int_(1)^(3)(1)/(x)dx

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

int_(1)^(3)e^(4x+1)dx

int (4x^(2) +x+1)/(x^(3) -1) dx=?

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

int_(0)^(1) (x)/(1-x)^(3//4)dx=

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