Chapter 14.5, Problem 4AYU

To determine

To fill: The area under the graph of $f$ from $a$ to $b$ is denoted by __________.

a. $\frac{f\left(b\right)-f\left(a\right)}{b-a}$

b. ${\displaystyle \underset{a}{\overset{b}{\int }}f\left(x\right)}dx$

c. $f^{\prime }\left(b\right)-f^{\prime }{\left(a\right)}^{}$

d. $\frac{b-a}{n}\cdot △x$

Answer to Problem 4AYU

Solution:

b. ${\displaystyle \underset{a}{\overset{b}{\int }}f\left(x\right)}dx$

Explanation of Solution

The area under the graph of $f$ from $a$ to $b$ is denoted by ${\displaystyle \underset{a}{\overset{b}{\int }}f\left(x\right)}dx$.

Hence option ‘b’ is correct.