In I.S.I.’s B.Stat Entrance 2005, the following problem appeared:

**Problem:** Let $$ f(x) = \int_0^1 |t-x|t dt $$ for all real x. Sketch the graph of f(x). What is the minimum value of f(x)?

Here is the first installment of a discussion on that.

### Part 1

### Part 2

[button url=”https://www.cheenta.com/graphing-an-integral-part-2/” class=”” bg=”” hover_bg=”” size=”0px” color=”” radius=”0px” width=”0px” height=”0px” target=”_self”] Scheduled on 30th Decemeber 2017 [/button]

### Part 3

[button url=”https://www.cheenta.com/graphing-an-integral-part-3/” class=”” bg=”” hover_bg=”” size=”0px” color=”” radius=”0px” width=”0px” height=”0px” target=”_self”] Scheduled on 31st Decemeber 2017 [/button]