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Diptanuj Sarkar

1 month before

Indefinite Integration

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I cannot understand the motivation behind the two cases of this specific Substitution, attached below in the picture. Why do we do it, and how did we arrive at this specific case?

Amrita Roy

1 month before

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I am helping you out with the first case.The problem with fractional power p is that you cannot use the basic binomial theorem for positive integral indices.So we use this substitution to make all the powers integers. I am attaching an image to show how you will arrive at integral powers. Let me know if you have any problems in those steps. But if you understand them, try the other substitution to understand the motivation behind this technique.