Find the integral of

Question

10/(x - 1)(x^2 +9)?

Answer 1

The integral expression is .

First write the expression in partial fraction.

Multiplying by thr least common denominator yields the basic equation

Expanding the basic equation and collecting like terms produces

Equate the coefficient of like terms on opposite sides f the equation.

solve eq(2) and eq(3) ---->  .

solve eq(4) and eq(3) ---->  .

A + B = 0 ---> 1 + B = 0 ---> B = - 1.

- B + C = 0 ---> 1 + C = 0 ---> C = - 1.