practice_problems/problems/unit-02/C-pdf-properties/1

[giscus[bot]]

practice_problems/problems/unit-02/C-pdf-properties/1

https://mids-w203.github.io/practice_problems/problems/unit-02/C-pdf-properties/1.html

[emowat]

The integral of (3+x)dx != 3/2x + x2 but rather 3x + x^2/2. So the partial integration yields 4.5c * 2 or 9c = 1, thus c = 1/9 if you don't want to be sneaky.

[jasonwstewart-ucb]

I saw there was a geometric solution but decided to plow through by splitting it into two definite integrals on the ranges [-3,0],[0,3] that must sum to 1/c. It has been a while since I've done any integration (so it was good to get me back into), but oh my lord was glad to see the solution also popped out with 1/9!