Evaluate the following integral:

Let us assume .....equation 1

By property, we know that

……..equation 2

Adding equation 1 and 2

Thus

We know

Since and

……equation 3

Let tan²x = y

Differentiating both sides

2 tanxsec²xdx = dy

For

y = ∞

For

y = 0

substituting values in equation 3

since