Top answers

Maths
A Level

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
13736 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
3311 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
10789 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
11018 Views

How to write an algebraic fraction in a given form e.g. (3+13x-6x^2)/(2x-3) as Ax + B + C/(2x-3) where A, B and C are natural numbers

I would break this down into simple steps:

Step 1 - Equate the 2 expressions: (3 + 13x - 6x2) / (2x - 3) = Ax + B + C / (2x - 3)

Step 2 - Multiply both sides by the demoninator: 3...

AT
Answered by Alex T. Maths tutor
3473 Views

We're here to help

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

© MyTutorWeb Ltd 2013–2025

Terms & Conditions|Privacy Policy
Cookie Preferences