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Maths
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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
15534 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
39664 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
17476 Views

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