Search over 10,000 free study notes

The key thing to remember with fractions, is that adding and subtracting them require a COMMON DENOMINATOR. We achieve this by multiplying both the top and bottom of fractions by a number that allows us t...

We begin by quoting the integration by parts formula, as the question speciaficaly asks us to use it.

integrate(u(x) v'(x) dx)|^(b)(a) = [u(x) v(x)]^(b)(a) - integrate(u'(x) v(x) dx)|^(b)_...

The question states to use integration by parts. So first we recall the integration by parts formula is integrate(u(x)v'(x)  dx)=     (v(x)u(x))    -    integrate(u'(x)v(x)   dx)+c...

These are simultaneous equations. To solve them, we need to do something to these equations to that either the coefficents of x or y are the same. So multiply each equation by a suitable number,  a good c...

Solution: x=4. This can be shown by factorisation or applying the quadratic formula.