In doing math I try not to memorize shortcuts/simplifications, but instead understand what's happening. When studying integrals, my professor gave out a few "simplifications" for us to use on problems; most of which I have been able to figure out, except one. I just cannot seem to figure out the relationship given, please help clarify/explain. Thankyou.(adsbygoogle = window.adsbygoogle || []).push({});

[tex]\int(\sqrt{a^2-u^2})du[/tex] = [tex]\left(\frac{u}{2}\right)[/tex][tex]\times[/tex][tex]\left(\sqrt{a^2-u^2}\right)[/tex] + [tex]\left(\frac{a^2}{2}\right)[/tex][tex]\times[/tex][tex]\left(sin^{-1}\left(\frac{u}{a}\right)\right)[/tex] + C

I have tried:

- u substitution

- trig substitution

- IBP

*It could be my steps, maybe I'm just doing the intermediates wrong.

**it took a really long time to put that formula in

**Physics Forums - The Fusion of Science and Community**

Dismiss Notice

Join Physics Forums Today!

The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

# Simplification of an integral please explain

Loading...

Similar Threads - Simplification integral please | Date |
---|---|

I Integrate a function over a closed circle-like contour around an arbitrary point on a torus | Saturday at 12:51 PM |

A Integrate f(x) = tanh(c*x^b)? Wolfram says not possible ... | Mar 11, 2018 |

Divergence Simplification/Identities | Oct 2, 2011 |

Simplification of Integration Problem | Nov 25, 2009 |

Verify a simplification with trig identity | Jan 10, 2004 |

**Physics Forums - The Fusion of Science and Community**