Q21 of 271 Page 322

Integrate the rational functions.
[Hint: Put e^x = t]

Now,

Let e^x = t

e^x dx = dt

Let

1 = A(t – 1) + Bt …(1)

Substituting t =1 and t = 0 in equation (1), we get,

A = -1 and B = 1

Integrate the rational functions.

Integrate the rational functions. [Hint: Put ex = t]