(adsbygoogle = window.adsbygoogle || []).push({}); 1. The problem statement, all variables and given/known data

Hi,

I'm trying to solve this problem and guess I'm doing something wrong.

Evaluate Integral tan(x)^5*sec(x)^4 dx

2. Relevant equations

integral tan(x) dx = ln(|sec(x)|)

integral tan(x)^n dx = tan(x)^(n-1)/(n-1) - integral tan(x)^(n-1) dx

tan(x)^2+1=sec(x)^2

3. The attempt at a solution

My Answer

Integral tan(x)^5*sec(x)^4 dx = 1/8*tan(x)^8 + 1/6*tan(x)^6 + 1/2*tan(x)^2 + ln(|sec(x)|)+c

I don't see what I'm doing wrong...

You can see my work attached. Thanks in advance for any assistance you can provide! Don't forget you can click on the window that pops up after clicking attachments to open the image in a new tab to view it at a larger scale.

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# Homework Help: Calculus II - Trigonometric Integrals - Evaluate Integral tan(x)^5*sec(x)^4 dx

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