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Evaluate the integral ∫(sin3x)(cos3x)dx (C4 Integration)

First, we must recognise that the integral is written as a product of two functions which cannot be directly integrated, therefore a trigonometric identity must be used to express this a single function. Sin...
LB
Answered by Leon B. • Maths tutor
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solve dy/dx = y(sec x)^2

Firstly, this differential equation should be solved using the separation of variables method, where all y terms are moved the left hand side of the equation and all x terms are moved to the right hand side....
MD
Answered by Max D. • Maths tutor
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The function f is defined as f(x) = e^(x-4). Find the inverse of f and state its domain.

Firstly, we let y=f(x) so that y=e x-4 . The aim of this question is to find the inverse of y=f(x), and in order to do that, we must rearrange the question so that x becomes the subject of the equation, whic...
RK
Answered by Rutwik K. • Maths tutor
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what does 'differentiation' mean?

Differentiation at A level is a method of working out the gradient of curves that aren't straight lines. If you have a function that is non-linear, which means any function that isn't in the form y= mx + c ,...
JM
Answered by Jessica M. • Maths tutor
4067 Views

How would you find the minimum turning point of the function y = x^3 + 2x^2 - 4x + 10

The first step in solving the equation is to find the stationary points of the function, these are the points where the gradient is equal to zero. In order to find these points, first differentiate using the...
JT
Answered by Josh T. • Maths tutor
5480 Views