how do integrate an equation with a surd or a fraction?

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most people are immediately confused when they see a surd or a fraction because they find it hard to apply the rule of integration directly to them. however it is not as complicated as it looks. all that needs to be done is to change the surd to a form that is easier to integrate. for example we know that (rt)x is equal to x^(0.5). when we change the surd to this form we can easily integrate this by adding 1 number to the power and deviding the whole value by the power+1. with a fraction you want to change it in the form of a number with a power too. to do this you bring the denominator with the nominator and change the power of the number you just took to the top to a negative power. and from there integration will be simple.

Abdullah D. A Level Maths tutor

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