Haha, yes, you're right, the LHS is wrong. Just split it as $\displaystyle \frac{1}{1+v^{2}}-\frac{v}{1+v^{2}}$ and there's an arctangent and a log.
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It's an $\displaystyle \frac{f'(x)}{f(x)}$ thing though; we got taught at A-level they got $\displaystyle \ln{(f(x))}$ Actually, no, blonde moment, you're right. Thankyou
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