Ive seen some example of U substitution where the limits of integration are changed for example, Say we have a particle pushed along the x axis with force=10/(1+x)^2 and we want the work required to move it 9 ft.(adsbygoogle = window.adsbygoogle || []).push({});

so Work = the integral from [0,9] of 10/(1+x)^2(dx) U substitution gives

u=1+x

du=dx

the 10 is factored out tilll the end.

Ok so, in this example at x=0, U=1 and at x=9, U=10

Now the new limits are [1,10] instead if [0,9]. But Why?

**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!

# Changing the Limits of Integration

Loading...

Similar Threads - Changing Limits Integration | Date |
---|---|

I Integration Limits Changing in Double Integral Order Change | Sep 7, 2016 |

Question on changing limits of integral | Feb 7, 2015 |

Changing limits of integration in subsitution | Apr 8, 2014 |

Substitution changes limits of integration? | Jan 12, 2012 |

Changing the limits on Integrals | Aug 20, 2011 |

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