Type 5.
Other rational expressions with the irrational function 1. If , we can use . 2. If , we can use . 3. If can be factored as , we can use . 4. If and can be factored as , we can use Frequently occuring integrals of irrational functions are: , where and is possitive on an interval. We can exclude the case, that the polynomial has a double root. Taking the factor (if ) or (if ) we reduce the integral to the form or , leading (by means of substitution) to the integrals:
or , respectively.
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