Top answers

Maths
A Level

Find the area under the curve y = (4x^3) + (9x^2) - 2x + 7 between x=0 and x=2

To be able to solve this, the equation needs to be integrated. To do this, simple integration needs to be applied where the power of 'x' increases by 1 and the coefficient of 'x' is divided by the new pow...

YS
Answered by Yash S. Maths tutor
4807 Views

Find INT{2,1}{x^4 + 3x^2 + 2}

This is a typical AS-level Maths question.

  1. We see it’s a definite integral so start by drawing some big square brackets with the “limits” (2 and 1).

  2. We go through the ex...

AF
Answered by Andrew F. Maths tutor
3852 Views

How could I sketch a graph of y=2x^3-3x^2?

To sketch a graph of an equation, there are several key features to consider. Firstly, we can consider where the graph crosses the x- and y-axes. When x=0, y=0, so the graph goes through the origin. If y=...

LH
Answered by Lawrence H. Maths tutor
11854 Views

Find the derivative of f(x)=x^2*e^x+x

You can split the derivative into 2 parts: dx/dy (x^2*e^x) + dx/dy (x)

For the first part you have to use the product rule, so let U=x^2 V=e^x U'=2x V'=Chain rule

V'=dx/dy(e^x)dx/dy(x)...

BR
Answered by Benedict R. Maths tutor
3666 Views

We have the curve f(x) = (x^2-5x)(x-1)+ 3x. Sketch the graph y=f(x), making sure to plot the co-ordinates where the curve meets the axes.

The first thing we want to do is re-write the curve f(x) in a format in which we can read and easily plot a graph. If we can include the '3x' in the factorised part of the equation, it will be neater and ...

RA
Answered by Rania A. Maths tutor
3307 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:

© 2025 by IXL Learning