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The integral of log(x) is not necessarily straight-forward. Though we can use the fact that d/dx(log(x)) = 1/x to help us.
Rather than simply trying to integrate log(x), we can use integration...
The key to solving any integral of this form is to use the cosine rule:
cos(2x) = cos2(x) - sin2(x) = 2cos2DFAnswered by Daniel F. • Maths tutor39664 Views
y=x^PLAnswered by Pascal L. • Maths tutor15801 Views
If you aren't lucky enough to be told in the question, the first thing we have to do is know when we should you integration by parts.
As you will be aware, it is not easy to directly integrate terms involving sin^2(x) and cos^2(x), so we use a substitution to turn them into something which we can integrate.
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