Question

Help with Riemann Sums?

Answer 1

@StudyGurl14

Answer 2

I assume your book has the definition? They want you to write it down.

Answer 3

yeah this is what is says...

Answer 4

the definition (see wikipedia http://www.analyzemath.com/calculus/RiemannSums/RiemannSums.html)
should have a limit i.e. the number of terms in the sum "goes to infinity"

in other words, the definition of the definite integral is
\[ \int_a^b f(x) \ dx = \lim_{n->\infty}\ \sum_{k=1}^n f\left( a+k\cdot \frac{b-a}{n}\right) \frac{b-a}{n} \]

Answer 5

For an example, I would use a simple function, for example f(x)= x from x=0 to 1
that makes the calculation (relatively) easy

in other words, we can find the integral of \( \int_0^1 x \ dx \)
which is the area "under the curve" of