hi, ive a function here and im finding it hard to integrate(adsbygoogle = window.adsbygoogle || []).push({});

[tex]\int \frac {1}{\sqrt{a^2 - x^2}}[/tex]

let x = asin(theta) so [tex] \frac{dx}{d \theta}=acos \theta[/tex]

[tex]dx=acos \theta d \theta[/tex]

[tex]\int \frac {acos \theta d \theta}{\sqrt{a^2 - a^2 sin^2 \theta}}[/tex]

[tex]\int \frac {acos \theta d \theta}{\sqrt{a^{2} (1 - sin^2 \theta)}}[/tex]

[tex]\int \frac {acos \theta d \theta}{acos \theta} = \int d \theta[/tex]

i cant continue this as i cant get the right equation which is able to be integrated. any ideas?

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

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

# Proof of an integral

Loading...

Similar Threads - Proof integral | Date |
---|---|

I Proofs of various integral properties | Oct 5, 2016 |

Proof: integral of continuous function is 0 so function is 0 | Feb 10, 2016 |

Riemann's proof of the existence of definite integrals | Nov 18, 2015 |

Divergence Theorem Question (Gauss' Law?) | May 4, 2015 |

Fundamental theorem of calculus - question & proof verifying | Mar 4, 2015 |

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