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Perhaps an introduction to integration with a simple integral, e.g. the integral of x^2

I would first write out the integral with correct notation, explaining to my tutee exactly what I am drawing and why. I will then explain the 'n+1' rule for integrating simple powers. I will go through th...

Answered by Reece C. • Maths tutor

3260 Views

Find, in radians, the general solution of the equation cos(3x) = 0.5giving your answer in terms of pi

we have cos (3x) = 0.5 (1) we know that in the interval between [-pi; pi] there are two values that satify the equation cos(y) = 0.5 (2) the two solutions are y=pi/3 and y=-pi/3 in this interval. Mor...

Answered by Marie B. • Maths tutor

7051 Views

(GCSE) A rectangle has the following characteristics: its length is (2x + 5), its width is (3x - 2). The perimeter of the rectangle is 46 cm. What is the value of x?

First of all draw the rectangle, name its sides and annotate its characteristics.
Define the data you have and what you are looking for.
Write down the general formula for the perimeter of a r...

Answered by Giulia D. • Maths tutor

5278 Views

How do you determine the nature of a graphs stationary point? e.g y = 1+2x-x^2

We have our function of y = 1+2x-x² The gradient of a stationary (or turning) point is 0, in essence a peak or a trough. In order to determine the gradient, we need to differentiate our ...

Answered by Joseph A. • Maths tutor

11460 Views

How do I integrate 2^x?

Let's first consider the differential of 2^x. We know that this becomes ln(2)*2^x. We can compare this to the integrand and see that this is very clos...

Answered by Jordan H. • Maths tutor

88554 Views