Question

Write the Riemann sum to find the area under the graph of the function f(x) = x4 from x = 5 to x = 7.

Answer 1

https://i.gyazo.com/5703a9ba56f6d799fdd797a328f5c247.png

Answer 2

Hint:

\[\Large \text{area under f(x) from a to b} = \lim_{n \to \infty} \sum_{i=1}^{n}f(x_i)*\Delta x\]

where
\[\Large \Delta x =\frac{b-a}{n}\]
\[\Large x_i = a+i*\Delta x\]