I'm confused as to when to change the limits on a definite integral.(adsbygoogle = window.adsbygoogle || []).push({});

Ex. Integral with the limits a=1, b=5, 3/(x+1)dx

I set u = x+1 and du = dx

I used u-substitution and everything worked out fine.

However for this one....

Ex. Integral with the limits a = 0, b = 2, 6x^2/sqrt((x^3)-1)

I used u-substitution u = sqrt((x^3)-1) and so 2du = (6x^2)dx

However the book says I need to change the limits of the integral.

So I'm not sure when to change the limits of an integral. Can anyone help? Thanks =D

**Physics Forums | Science Articles, Homework Help, Discussion**

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 on Integrals

Loading...

Similar Threads for Changing limits Integrals |
---|

I A rigorous definition of a limit and advanced calculus |

I Dx as a small change in x |

I Rate of change of area under curve f(x) = f(x) |

**Physics Forums | Science Articles, Homework Help, Discussion**