Rewrite \(\tan x\) as \(\sin x/\cos x\), then use \(u=\cos x\). The result is \(\int \tan x\,dx=-\ln|\cos x|+C=\ln|\sec x|+C\).
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How do you integrate \(\tan x\)?
Rewrite \(\tan x\) as \(\sin x/\cos x\), then use \(u=\cos x\). The result is \(\int \tan x\,dx=-\ln|\cos x|+C=\ln|\sec x|+C\).
When can L'Hôpital's Rule be used to evaluate a limit?
Use it for limits that produce the indeterminate forms \(0/0\) or \(\infty/\infty\), after differentiating the numerator and denominator separately.
What is the formula for the area enclosed by a polar curve?
For a polar curve \(r=f(\theta)\) from \(\theta=a\) to \(\theta=b\), the area is \(A=\frac{1}{2}\int_a^b[r(\theta)]^2\,d\theta\).
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