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

[tex]

\int\arctan(4t)dt

[/tex]

2. Relevant equations

3. The attempt at a solution

[tex]

\int\arctan(4t)dt = t\arctan(4t) -4 \int \frac{t}{1+16t^2}dt

[/tex]

I'm stuck at this point. I think I need to make a substitution for the denominator, but I'm not sure how to go about doing so.

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# Integration by Parts substitution

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