91Ó°ÊÓ

The integrals are all quite straightforward, so you will have no trouble with them. Take your time: there is no need to hurry and no extra marks for speed! Look back through the notes you have made in your record book and brush up any points on which you are not perfectly clear. Determine the following integrals: $$ \int e^{\cos x} \sin x \mathrm{~d} x $$

$$ \text { Determine the following: } $$ $$ \int \frac{3 x^{2}}{(x-1)\left(x^{2}+x+1\right)} d x $$

$$ \text { Determine the following: } $$ $$ \int_{0}^{\pi / 2} \sin 7 x \cos 5 x d x $$

The integrals are all quite straightforward, so you will have no trouble with them. Take your time: there is no need to hurry and no extra marks for speed! Look back through the notes you have made in your record book and brush up any points on which you are not perfectly clear. Determine the following integrals: $$ \int \frac{\ln x}{\sqrt{x}} \mathrm{~d} x $$

$$ \text { Determine the following: } $$ $$ \int \frac{\sin 2 x}{1+\cos ^{2} x} \mathrm{~d} x $$

The integrals are all quite straightforward, so you will have no trouble with them. Take your time: there is no need to hurry and no extra marks for speed! Look back through the notes you have made in your record book and brush up any points on which you are not perfectly clear. Determine the following integrals: $$ \int \tan ^{2} x d x $$

The integrals are all quite straightforward, so you will have no trouble with them. Take your time: there is no need to hurry and no extra marks for speed! Look back through the notes you have made in your record book and brush up any points on which you are not perfectly clear. Determine the following integrals: $$ \int x^{2} \sin 2 x \mathrm{~d} x $$

$$ \text { Determine the following: } $$ $$ \int_{0}^{a / 2} x^{2}\left(a^{2}-x^{2}\right)^{-3 / 2} \mathrm{~d} x $$

The integrals are all quite straightforward, so you will have no trouble with them. Take your time: there is no need to hurry and no extra marks for speed! Look back through the notes you have made in your record book and brush up any points on which you are not perfectly clear. Determine the following integrals: $$ \int e^{-3 x} \cos 2 x d x $$

$$ \text { Determine the following: } $$ $$ \int_{0}^{\pi} x \sin ^{2} x d x $$