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Maths
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How do I find the integral ∫(ln(x))^2dx ?

This problem is all about using integration by parts, so let's start by quoting the formula for integration by parts:

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SC
11565 Views

What is Pythagoras's theorem?

For any right-angled triangle, the square of the hypotenuse (the side opposite the right angle) is the sum of the square of the remaining two sides. 

BM
Answered by Bhavika M. Maths tutor
4794 Views

How do I find the root of a quadratic equation?

Usually the easiest way to find the root of a quadratic is to factorise it so you have something a form similar to - (x+2)(x-1)=0.

From here you need to find a value for x that makes each brac...

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Answered by Nicky F. Maths tutor
5781 Views

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
15709 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
39864 Views

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