Top answers

Further Mathematics
A Level

How does proof by induction work?

If I gave you an infinitely tall ladder and asked you to prove to me that there are no rungs missing from the ladder, you wouldn't start to check the ladder rung by rung to see if they are all there, you'...

SJ
2922 Views

Integrate cos(log(x)) dx

There are several approaches to integrating this function, thus making this a valuable exercise for students needing to develop fluency with the various techniques of integration and practise dealing with...

SB
4298 Views

Integrate the function f(x) = x ln (x) over the interval [1,e].

This problem can be solved using integration by parts (IBP), although using IBP multiple times:BASIC IBP METHOD: given an expression integral(u dv) where ...

JH
4390 Views

Compute the derivative of arcsin(x).

To compute the derivative of arcsin(x) we use the fact that it is the inverse of sine. Write y=arcsin(x). We want dy/dx. Taking sin on both sides yields sin(y)=x. Use implicit differentiation to different...

JP
5495 Views

By use of matrices uniquely solve the following system of equations, justifying each step of the calculation: 3x-7y=6, 5y-2x=-3.

The first thing observe is that we are being asked to use a specific approach in order to solve for both x and y, hence we should not approach ...

KM
3484 Views

We're here to help

contact us iconContact ustelephone icon+44 (0) 203 773 6020
Facebook logoInstagram logoLinkedIn logo

MyTutor is part of the IXL family of brands:

© 2026 by IXL Learning