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The answer is Ln8/9, by first converting (1-x)/(5x-6-x^2) into partial fractions you get 1/(2-x) + 2/(x-3), the next step is a simple integration by inspection followed by log manipulations to get the fin...

The integral of any equation let the example be dy/dx = ax^n The integral of (RHS) dy/dx (because when we integrate we are integrating both sides) is y The integral of (LHS) ax^n is  [ax^(n+1)]/[n+1] when...

Maths A level is one of the hardest a levels there is, so it’s only natural that you’re going to be finding it tough. The jump from GCSE to A level is real, and if you haven’t done a further maths qualifi...

The minimum value lies where the tangent to the curve has a gradient of zero and the curve approaching from both directions increases in value. This is done by finding the first and second derivatives of ...

y=e^(x)*sin(x)   

Use the product rule:   y'=uv'+vu'    y=u*v          

Differentiate: u=e^(x)   u'=e^(x)    v=sin(x)  v'=cos(x)

Sub into the product rule: y'=e^(x)*cos(x)+e^(x)*sin(x...