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Can someone help me with a calc integral substitution.?

0 votes

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
asked Feb 13, 2015 in CALCULUS by anonymous

1 Answer

0 votes

Step 1 :

The integral function is .

Rewrite integral :

image

image

Use the trigonometric identity : image.

image

Let image.

Apply derivative on each side.

image

Step 2 :

Substitute image and image in the integral.

image

Substitute image.

image

image.

Solution :

image.

answered Feb 19, 2015 by yamin_math Mentor
edited Feb 19, 2015 by yamin_math

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