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What is the antiderivative of cos^3(x)+4/cos^2(x)?
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@amistre64
can you clean up the notation, its a bit vague at the moment what the function is spose to be
\[\frac{a^3+b}{a^2}\]or \[a^3+\frac{b}{a^2}\]
it is \[\int\limits \frac{ \cos ^{3}x+4\ }{\cos ^{2} x }\]
split the fraction
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wow im having really bad connection sorry about this
its the site itself, its been broken for a while now
so \[\cos x + \cos ^{-2}x\] ?
pretty much cos^(-2) = sec^2 right?
oh, wow that's really easy then
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\[\int\limits \cos x+4\ \sec ^{2} x \] yes, it is rather simple :)
so then integral of that is -sinx + tanx
-sinx+4tanx
yep, dont forget the constant
+C
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thatll do it
thank you!
yw
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