Q. 4 - Calculus

Question

Determine the wrong in the expression

$F\left(x\right)={\int }_2^x{x}^{2}dx$

Step-by-Step Solution

Answer

The expression must be

$F\left(x\right)={\int }_2^x{t}^{2}dt$

Step 1. Given

The given function is $F\left(x\right)={\int }_2^x{x}^{2}dx$

Step 2. Determination

The expression must be

$$\begin{gathered} F\left(x\right)={\int }_2^x{t}^{2}dt \\ \mathrm{where} \mathrm{t} \mathrm{is} \mathrm{dummy} \mathrm{variable} \end{gathered}$$