x=sqrt((x^(2)-3)/(x^(3)-7x+6))dx

int ((x^(2)-3)dx)/(x^(3)-7x + 6)

int(x^2-3)/(x^3-7x+6)dx

int (x^2-3)/(x^2-7x+6)dx

sqrt(3x^(2)-7x-30)-sqrt(2x^(2)-7x-5)=x-5

Differentiate w.r.t x : (x)/(2)-(2)/(x)+sqrt(x)+(3)/sqrt(x)+x^(2)-3^(x)+(2)/(3)x^(6)

int (6x^(3) + 5x^(2)-7)/(3x^(2)-2x-7)dx

lim_(x rarr sqrt(2))(x^(2)-3sqrt(2)x+4)/(x^(3)+7x-9sqrt(2))

Write the following polynomials is standard form. (i) x-9+sqrt 7x^(3) +6x^(2) (ii) sqrt 2x^(2) -(7)/(2) x^(4) +x -5x ^(3) (iii) 7x^(3) - ( 6)/(5) x^(3) +4x -1 (iv) y^(2) +sqrt5y ^(3) -11 -(7)/(3) y+9y^(4)

Evaluate the following integrals: int(x^4+x^3-6x^2-13x-6)/(x^2-7x+6)dx .