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Maths
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How do you integrate xcos(x)?

Using integration by parts: split xcos(x) into x multiplied by cos(x). Differentiating x gives 1 and integrating cos(x) gives sin(x). The integral of xcos(x) can therefore be rewritten as xsin(x) - integr...

AB
Answered by Aleksandr B. Maths tutor
8274 Views

How to integrate lnx by parts?

Integration by parts formula: ∫ udv/dx = uv - ∫ du/dxv dx

To solve this problem we need to use a trick by thinking of lnx as lnx1
So we can choose: u=lnx, dv/dx=1
...

RJ
Answered by Ryan J. Maths tutor
9242 Views

How do you find the inverse of a function?

So you are asked to find the inverse of a function f(x).
The inverse function is denoted by f -1(x).
To help with this we can use the identity f(f -1(x))=x.
Now,...

RJ
Answered by Ryan J. Maths tutor
6994 Views

What are the differences between arithmetic and geometric sequences?

An arithmetic sequence has a constant difference between each term.
For example: 2,4,6,8,10,12,…
We can see clearly that all the terms differ by +2.
We call this the common difference...

RJ
Answered by Ryan J. Maths tutor
164823 Views

What is the quotient rule and how is it applied?

The quotient rule is a formula used to differentiate fractions that contain terms of x in both the numerator and the denominator (we usually refer to this as f(x)/g(x)).
As it isn't possible to diffe...

PH
Answered by Pete H. Maths tutor
5775 Views

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