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a)  For an inverse function- "inputs become outputs" so swap the positions of the input-variable (i.e "x") with the output variable (i.e f(x)) and then rearange. Once rearanged so that...

If you take £28, what is 10% of 28? 2.8 So what is 30% of 28? You would do 2.8 x 3... which is? 8.4 And what is 5% of 28? You would half 2.8...so 1.4 Now add together 30% of 28 and 5% of 28... this gives ...

Let u = ln(x) and dv/dx = x

Thus du/dx = 1/x and v = x²/2

Using the formula:

Integral of udv/dx = uv - Integral of v*du/dx<...