Q19 of 271 Page 322

Integrate the rational functions.

Now,

Now, let x² = t

2xdx = dt

Thus, …(1)

Let

1 = A(t + 3) + B(t + 1)……………….(2)

Substituting t = -3 and -1 in (2), we get

A = and B =

Integrate the rational functions.

[Hint: Put e^x = t]