`int(5x^2+2x+1)dx`

1. int1/(x^2+2x+5)dx

int(5x^3+2x^2+x-1)dx

int(5x^3+2x^2+x-1)dx

int(5x^2)/((x+1)(x^2+4))dx=

int(x^(2)-5x+7)dx

Evaluate: int1/(sqrt(5x^2-2x))\ dx

Show that int_(0)^(2)(2x+1)dx = int_(0)^(5)(2x+1)+int_(5)^(2)(2x+1)

(i) int 1/(x^2+2x+2) dx (ii) int 1/(9x^2+6x+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

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