Bill P. answered • 04/21/16

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First problem: whenever you are presented with a fraction, use the following technique.

Let u = the denominator. In this case u = x^2 + 3x - 10. This makes du = (2x + 3) dx

Now you can rewrite the original function as (intregral symbol) du/u.

This integration is equal to ln u + C where ln is the symbol for the natural logarithm

You may now replace u with (x^2 + 3x - 10).

The final result is ln (x^2 + 3x - 10) + C (C represents any arbitrary constant.)

Bill P.

04/21/16