Powers of Sines and Cosines

Evaluate the integrals.

Step 1 of 6</p>

Here, we have to evaluate the given integral.

….(1)

Step 2 of 6

The given equation (1) can be written as .

Now, let us find the indefinite integral …..(2)

We know that and .

Therefore, (2) becomes

.

….(3)

Step 3 of 6</p>

Consider

…..(4)

Let

Therefore, (4) becomes

Substituting back , we get

…..(5)