Q. 4 - Calculus

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

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

Step-by-Step Solution

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 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 

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