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How do you integrate by parts?

This is one of the trickier methods of integration, and it requires some practise. The basic idea is to split a function which would be difficult to integrate into two parts. Differentiating one part and int...
HM
Answered by Harry M. • Maths tutor
5719 Views

How do you multiply out brackets

This is simple as long as you remember FOIL: First Outside Inside Last So, for example, let's multiply out (2x+1)(4x-3) Multiply the first number from each bracket together: 2x times 4x = 8x 2 Then the outsi...
HM
Answered by Harry M. • Maths tutor
14506 Views

Finding out the length of one side of a triangle

The way to find the length of one side of a triangle can be to use SOHCAHTOA, an abbreviation learnt to help rememeber the process. SOH stands for sin = opposite / hypotenuse , CAH stands for cos = adjacent ...
AA
Answered by Anesha A. • Maths tutor
6032 Views

How do I factorise quadratic equations?

Take the example x 2 + 5x + 6.You need to think of 2 numbers that multiple together to make 6, and add together to make 5. Therefore in the brackets we need 2 and 3. As all the signs are positive in this exa...
AS
Answered by Adam S. • Maths tutor
4926 Views

If y = (4x^2)ln(x) then find the second derivative of the function with respect to x when x = e^2 (taken from a C3 past paper)

The first thing to recognise is that this function is a product of two functions: namely, 4x^2 and ln(x), thus we must employ the product rule in order to find the solution. As you may recall, the product ru...
CS
Answered by Caspar S. • Maths tutor
15758 Views