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The key here is to recognise that this is in the form f'(x)/f(x). We can use the idea that integration is the inverse of differentiation, and the knowledge that the derivative of ln(f(x)) is equal to f'(x)/f(x). In this case f(x)=1+x^2, so we have that the integral of (2x)/(1+x^2) is equal to ln(1+x^2)+c.

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One to one online tution can be a great way to brush up on your Maths knowledge.

Have a Free Meeting with one of our hand picked tutors from the UK’s top universities

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