Question

Can someone help me with a calc integral substitution.?

what substitution is used to evaluate the integral of sec(x)^8 ? I only need the substitution please

Answer 1

Step 1 :

The integral function is .

Rewrite integral :

Use the trigonometric identity : .

Let .

Apply derivative on each side.

Step 2 :

Substitute and in the integral.

Substitute .

.

Solution :

.