# I Successive Integrals

1. Nov 14, 2016

### SuperCat

My textbook shows the following example of successive integrals:

Does the 1st integral y_1(t) have a typo? Shouldn't the integral be taken with regards to Tau?
If not, I would appreciate an explanation of why the 1st successive integral is taken with regards to t, but in the second it is taken with regards to Tau.

Last edited: Nov 14, 2016
2. Nov 14, 2016

### Staff: Mentor

The integral should be $\int_{-\infty}^t y(\tau) d\tau$.