Q. 12 - Calculus

Question

Notation: Describe the meanings of each of the following mathematical expressions or how they are commonly used in this chapter:

$\left[F\right(x){]}_a^b$.

Step-by-Step Solution

Answer

For any function $F$ on an interval $\left[a,b\right]$, the difference $F\left(b\right)-F\left(a\right)$ will be called the evaluation of $F\left(x\right)$ on $\left[a,b\right]$ and will be denoted by,

                                      $\left[F\right(x){]}_a^b=F(b)-F(a)$.

Step 1 . Given information

$\left[F\right(x){]}_a^b$.

Step 2 . Definition for the given expression.

For any function $F$ on an interval $\left[a,b\right]$, the difference $F\left(b\right)-F\left(a\right)$ will be called the evaluation of $F\left(x\right)$ on $\left[a,b\right]$ and will be denoted by,

                                       $\left[F\right(x){]}_a^b=F(b)-F(a)$.