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how to integrate by parts

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.

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Answered by Tim M. • Maths tutor

5036 Views

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...

Answered by Michael H. • Maths tutor

16845 Views

How do I integrate by parts?

The integration by parts formula takes the form:

int(uv') = uv - int(vu')

where v' = dv/dx and u' = du/dx

A lot of the art of using the integration by part...

Answered by Chris B. • Maths tutor

5124 Views

How do you differentiate by first principles?

Firstly, what are we trying to achieve by differentiating a function? Differentiation allows us to compute the rate of change of a function at any point along ...

Answered by Daniel B. • Maths tutor

6755 Views