`(3x + 2x) (3x-2x)`

Solve for x : (x+ 3)/(x + 2) = (3x -7)/(2x - 3) , x =2 , (3)/(2)

Simplify each of the following 3x^(2) + 2(x + 2) - 3x (2x + 1)

Evaluate (x + 2)/((x + 1)(2x+ 3)) - (2x + 3)/((x + 1)(x + 2)) + (3x + 5)/((2x + 3)(x + 2))

Evaluate lim_(x rarr0)(tan3x-2x)/(3x-sin^(2)x)

Solve by factorization: (x+3)/(x+2)=(3x-7)/(2x-3)

Evaluate lim_(xtooo) ((x^(2)+x-1)/(3x^(2)+2x+4))^((3x^(2)+x)/(x-2))

Evaluate int(x^(4)-3x^(2)-3x-2)/(x^(3)-x^(2)-x)dx

The series . (2x)/(x + 3) + ((2x)/(x + 3))^(2) + ((2x)/(x + 3))^(3) + ...oo have a definite sum when

(i) (x ^ (3) + 2x ^ (2) + 3x) -: 2x (ii) (10x-25) - :( 2x-5) (iii) (x (x + 1) (x + 2 ) (x + 3)) - :( x (x + 1))

int_(-5)^(2)(3x^(2)+x-3)/(x^(2)+3x+3) dx equal to alpha ,then