Evaluate the following integral:

Let us assume …......equation 1

By property, we know that

We know that

Sin(– x) = – sin x

Cos(– x) = cos x

We know

Thus substituting the values, we get,

………………….equation 2

By property, we know that

Thus substituting the values

….....equation 3

Adding equation 2 and equation 3

+

We know

Let

Differentiating both sides

For

y= –1

For x = 0

Cos 0 = y

y = 1

Thus substituting the given values

….equation 4

Now let

Differentiating both sides

For

For

Substituting the values in equation 4