To integrate surds (roots) and expressions with variables in the denominators, the same rule is used as for the integration of polynomials.
Before integration the terms must be written in index form.
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Term
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Index form
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3√x
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 |
 |
6x-2
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The terms can then be integrated using:
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∫ axn dx =a.
 + c |
This means that a coefficient remains unchanged by integration.
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Examples
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Answers
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| 1 | Find ∫ 3√x dx |  |
| 2 | Find ∫  dx |
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| 3 |  |
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| 4 | Find  |
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