You're asking for a value of k such that . Doing the integration, , that is, . This is a quadratic equation in k which has a root near 2.47.
Hello,Originally Posted by ify00
I assume that 0 < k < 4.
From the title of your post I assume that you want to calculate the area by integration (which isn't necessary with your problem). You calculate 2 areas which should be equal:
It is now
You'll get a quadratic equation:
The negative solution doesn't fit into your problem. So k = 2.47...