STEP II 1992 question 8 solution

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i)

But

We will now sort this out into partial fractions:

Setting gives us

Setting gives us (*)

Setting gives us (#)

Solving (*) and (#) by the elimination method gives us:

Therefore we now have to solve

Taking out a constant gives

Which integrates to

ii.

Let

So now we are integrating:

iii.

Let

So:

Using the cover rule for partial fractions gives

Solution by Lusus Naturae.