Evaluate the following integrals. \tan^{7}x \sec^{4}xdx

Chesley

Chesley

Answered question

2021-10-15

Evaluate the following integrals.
tan7xsec4xdx

Answer & Explanation

dieseisB

dieseisB

Skilled2021-10-16Added 85 answers

Step 1
To Determine:
Evaluate the following integrals.
Given: we have
tan7xsec4xdx
Explanation: we have
tan7xsec4xdx
we can write
tan7xsec2xsec2xdx
(1tan2x)sec2xtan7xdx
substituting u=tanxdu=sec2xdx then we have
u7(1+u2)du=(u7+u9)du
Step 2
(u7+u9)du=u88+u1010+c
tan8x8+tan10x10+c

Do you have a similar question?

Recalculate according to your conditions!

Ask your question.
Get an expert answer.

Let our experts help you. Answer in as fast as 15 minutes.

Didn't find what you were looking for?