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Home > CALC > Chapter 4 > Lesson 4.2.1 > Problem 4-50
4-50.
If
Notice that this is a Riemann sum with infinitely many rectangles.
And a Riemann sum with infinitely many rectangles is the Definition of an Integral:
Can you rewrite this as an integral?
The
Now let’s find the height of each rectangle.
Heights, of course, are represented by a function,
But what is
Since
This is beginning to look more like an integral:
We still need to find the bounds of the integral.
The lowest value of