Convert from to .

Factor out of .

Integrate by parts using the formula , where and .

Raise to the power of .

Raise to the power of .

Use the power rule to combine exponents.

Add and .

Reorder and .

Using the Pythagorean Identity, rewrite as .

Rewrite the exponentiation as a product.

Apply the distributive property.

Reorder and .

Raise to the power of .

Raise to the power of .

Use the power rule to combine exponents.

Add and .

Raise to the power of .

Use the power rule to combine exponents.

Add and .

Split the single integral into multiple integrals.

Since is constant with respect to , move out of the integral.

The integral of with respect to is .

Apply the distributive property.

Solving for , we find that = .

Multiply by .

Multiply by .

Simplify.

Evaluate integral of 1/(cos(x)^3) with respect to x