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

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

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

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

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

Evaluate: (i) int(x^(2)+x+5)/(3x+2)dx (ii) int(2x+3)/((x-1)^(2))dx

Evaluate : (i) int(3x+5)^7dx (ii) int(4-9x)^(5)dx (iii) int(1)/((2-3x)^(4))dx (iv) intsqrt(ax+b)\ 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^(2))dx then

int(1)/((2-3x)^(2)(4-5x))dx=

int(1)/(sqrt(4+8x-5x^(2)))dx

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