Question

Fill in the blanks to complete each of the following theorem statements:

4. The Fundamental Theorem of Calculus in Evaluation Notation: If $f$is on $[a,b]$, then

localid="1648815815959" ${\int }_a^{b}f\left(x\right)dx=[\_\_\_{]}_a^b$

Short answer

The Fundamental Theorem of Calculus in Evaluation Notation: If $f$is on $\left[a,b\right]$, then

${\int }_a^{b}f\left(x\right)dx=[\int f(x)dx{]}_a^b$

Step-by-step solution

Step 1. Given data

We have to complete the statement,

The Fundamental Theorem of Calculus in Evaluation Notation: If $f$is on $[a,b]$, then

${\int }_a^{b}f\left(x\right)dx=[\_\_\_{]}_a^b$

Step 2. Fill in the blacks

If $f$is on $[a,b]$, then

${\int }_a^{b}f\left(x\right)dx=[\int f(x)dx{]}_a^b$