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Multiply both numerators and denominator by the opposite denominators to get 3(2x+5)/(2x+5)(x+1) and 4x(x+1)/(2x+5)(x+1). Now the denominators are both equal so we can combine into one fraction and add th...

Integration by parts formula is given in all A level maths formula books however would be of use to memorise Formula: INT(uv')dx= uv- INT(u'v)dx Hint: write lnx as (1).lnxlet u=lnxhence u' = du/dx = 1/x l...

To solve this question we need to factorise x² +x-30=0 to find the points in which the function x² +x-30=0 intersects/ cuts the x axis. We factorise the function x² +x-30=...

In order to find the slope of the given function, we firstly have to find its first order derivative. This derivative will give us the slope of the original function at every point. To find the derivative...

Firstly, we can solve this equation by drawing a graph. By drawing it accurately we can see that the line intercepts the y-axis at -8 making the c value = -8. Next to calculate the gradient, m, we can tak...