eexiam
integrate by parts: ∫arctan4tdt



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TuringTest
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\[u=\tan^{1}(4t)\]\[dv=tdt\]

tjones89
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i think you saw an extra t in there
dv should just be dt

TuringTest
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yes I did :)

TuringTest
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\[u=\tan^{1}(4t)\]\[dv=dt\]I'm tired now, g'night!

tjones89
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\[du = \frac{ 4 }{ 1+t^2 }dt\]
\[v = t\]

tjones89
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\[I = t*\arctan(4t)  4\int\limits_{}^{}\frac{ t }{ 1+t^2 }dt\]
usub from here should do it

Fellowroot
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dw:1350628982821:dw