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Maths
A Level

How do I integrate log(x) or ln(x)?

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...

DF
Answered by Daniel F. • Maths tutor
16997 Views

How do I integrate cos^2(x)?

The key to solving any integral of this form is to use the cosine rule:

cos(2x) = cos2(x) - sin2(x) = 2cos2

DF
Answered by Daniel F. • Maths tutor
41035 Views

How do I differentiate y=x^x?

how to integrate by parts

How do I integrate terms with sin^2(x) and cos^2(x) in them? For example integrate (1+sin(x))^2 with respect to x

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.

From the double a...

MH
Answered by Michael H. • Maths tutor
18810 Views

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