100 Integrals from Coroneos

One of the good 4 unit books around is the one by Jim Coroneos.  It was published years ago, and still contains some really good questions.  In particular, at the end of the integration chapter, there are 100 integrals.  If you can do these, then you are well on your way to a good understanding.
I've simply re-typeset them, and you can get them below.

Arnold & Arnold, Exercise 1.7 Solutions

Here are the solutions for Exercise 1.7 of Cambridge Mathematics 4 Unit textbook by Graham and Denise Arnold.
Remember that once you know the graph of $\displaystyle y=\sqrt{f(x)}$, then it is simply a matter of reflecting the square root curve in the $x$-axis to find the curve $\displaystyle y^2=f(x)$.

The reason for this is that if $\displaystyle y^2=f(x)$, then $\displaystyle y=\pm\sqrt{f(x)}$

Implicit Differentiation

Here is a worksheet, with solutions, on implicit differentiation. At the heart, it is an application of the Chain Rule. All you really need to remember is that you differentiate $y$ as if it were an $x$, but just put $\frac{\mathrm{d}y}{\mathrm{d}x}$ after it.

Complex Numbers Assignment I

This is an assignment that was used in past years - it will be good revision for you!