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Integral not leading to the ln of a denominator:

This might appear to be of the form leading to a logarithmic result, except for the presence of the radical. In using the rule for integration involving the natural log, notice that the first power must be present in the denominator. Hence we must try some other substitution and use the power rule:

Let, , or .

Substituting these results, we get .

Using the Scalar Multiple rule for integration and removing the radical sign, we get .

Using the Power rule for integration, we get .

Now we substitute for u to get a result in terms of x: .

General Contents

Detailed Contents

Index