Top answers

Maths
All levels

Integrate x*sin(x) with respect to x.

We integrate by parts: u=x   u'=1;  v'=sin(x)  v=-cos(x) integral(xsin(x)dx) = -xcos(x) + integral(cos(x)dx) = -x*cos(x) + sin(x) + C where C is a constant.

JR
Answered by James R. Maths tutor
14325 Views

How do I do binomial expansions for positive integer n?

The general method for (a+b)^n is: 1)write out pascals triangle (see whiteboard) and stop at the nth row. Write this on a line. 2)write down the powers of a in ascending order (and simplify) 3)write down ...

DR
Answered by Daniel R. Maths tutor
3668 Views

How do I work out what integration method I should use to solve an integral?

A-Level Mathematics is about a wide range of topics, among which Integrating is key!

While differentiation is a technique, whereby a set of rules can be used to approach problems, integration is an...

LC
Answered by Luigi C. Maths tutor
11713 Views

Show that x^2 - x +2 is positive for all values of x

(x-1/2)= (x-1/2)(x-1/2)=x2-x+1/4, add 7/4 to get x2-x+2 therefore x2-x+2 = (x-1/2)2 + 7/4

squared numbers always positive so (x-1/2)2

PM
Answered by Pearse M. Maths tutor
11596 Views

Vectors a and b are defined by a = 2i + 3j and b = 4i - 2j, find 3a-b in terms of i and j

3a = 6i + 9j

-b = -4i + 2j

3a-b = (6i-4i) + (9j+2j) = 2i + 11j 

PM
Answered by Pearse M. Maths tutor
7515 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