ggrree
Integral of tan^2(x)sec(x)



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bahrom7893
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u is Sec(x)!!!!

bahrom7893
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du is tan^2(x) dx.. the rest is for myin.

TuringTest
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not quite bahrom

myininaya
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\[\int\limits_{}^{}\tan(x) \cdot \tan(x) \sec(x) dx=\tan(x) \cdot \sec(x)\int\limits_{}^{}\sec^2(x) \cdot \sec(x) dx\]

bahrom7893
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oh wait lol i got it the other way around hahaha

myininaya
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And you can look at the integral sec^3(x) and use integration by parts there

myininaya
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oh wait i didn't need to do what i did

myininaya
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\[\int\limits_{}^{}(\sec^2(x)1)\sec(x) dx=\int\limits_{}^{}\sec^3(x) dx\int\limits_{}^{}\sec(x) dx\]

TuringTest
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that person is leaving, just so you know
they told me on another post

myininaya
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\[\int\limits_{}^{}\sec^3(x) dx=\int\limits_{}^{}\sec^2(x) \sec(x)dx=\tan(x) \sec(x)\int\limits_{}^{}\tan(x) \sec(x) \tan(x) dx\]
\[\tan(x) \sec(x)\int\limits_{}^{}(\sec^2(x)1) \sec(x) dx\]

myininaya
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:(

TuringTest
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I was doing problems with them for quite a while, but don't worry
pretty sure they got what you were saying

myininaya
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yay i think there is enough info here

ggrree
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thanks to all of you! I got it now.