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Integrate 4/x^2

First of all, I would ask the tutee if they were familiar with the law of integration. i.e. that you increase the power of the variable (x) by 1, then divide by the new power, and if not then I would clarify this with them.Then, we should manipulate the fraction into a format that we know how to integrate more easily.We know that we can rewrite 1/x^2 as x^-2Hence we are simply multiplying this by 4 i.e. we can see this as 4 * 1/x^2Finally, we apply the law of integration to 4x^-2 by adding 1 to the power, then dividing by the new powerSo the answer would be -4x^-1

Answered by Ahmed E. Maths tutor

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