`int_(1)^(2)(x^(4)+2x^(3)+x^(2)+x+5)dx`

int_(1)^(4)(3x^(2)+2x)dx

"int_(-1)^(4)(x^(5)+2x^(2)+x)dx

Evaluate the following: int_(1)^(2)(5x^(2))/(x^(2)+4x+3)dx

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

int_(3)^(5)(x^(2)dx)/(x^(2)-4)

Evaluate the definite integrals int_(1)^(2)(4x^(3)-5x^(2)+6x+9)dx

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

Evaluate: (i) int(5x^(2) + 2x^(-5) - 7x + 1/(sqrt(x)) +5/x) dx (ii) int(3sinx - 4 cosx + 5 sec^(2) x - 2cosec^(2)x) dx (iii) int(1-x)(2+3x)(5-4x)dx (iv) int((3x^(4) - 5x^(3) + 4x^(2) -x + 2)/(x^(3)))dx , (v) int(x^(2) + 1/(x^(2)))^(3) dx

Evaluate: int_(2)^(3)(2x^(5)+x^(4)-2x^(3)+2x^(2)+1)/((x^(2)+1)(x^(4)-1))dx

int_(4)^(5)((2-x)/(x-3))dx