Chapter 7.5, Problem 2QQ

To determine

To find multiple choice question .

Answer to Problem 2QQ

  $F\left(5\right)=-0.293$ , option C

Explanation of Solution

Given information: F(x) is an antiderivative of $\cos \left(x^2\right)$ .

If F(1)=0, then F(5)=

Calculation : The required solution is obtained as,

  $\begin{array}{l}F\left(x\right)={\displaystyle {\int }_1^x\cos \left(t^2\right)}dt\\ F\left(5\right)={\displaystyle {\int }_1^5\cos \left(t^2\right)}dt\left(\text{replace }x\text{ with 5}\right)\\ =-0.293\end{array}$

Hence, $F\left(x\right)={\displaystyle {\int }_1^x\cos \left(t^2\right)}dt=-0.293$ . Option C.