X 0 0.5 1 1.5 F(x)
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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![(2) Let \( F(x) = \int_{0}^{x} \sin t^2 dt \). Sketch an approximate graph of \( F \) on the interval \([0, \sqrt{\pi}]\) by filling out this table and then plotting the corresponding points.
\[
\begin{array}{c|c}
x & \approx F(x) \\
\hline
0 & \\
0.5 & \\
1 & \\
1.5 & \\
\sqrt{\pi} & \\
\end{array}
\]
To fill out each field in this table, use the midpoint approximation with \( n = 100 \) intervals. Explain what technology you used.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fbe73d2f7-f48d-4799-ad26-f906d4f73fa5%2F10330249-011d-45f0-be2c-a67eaf942610%2F4xqlpv_processed.png&w=3840&q=75)
Transcribed Image Text:(2) Let \( F(x) = \int_{0}^{x} \sin t^2 dt \). Sketch an approximate graph of \( F \) on the interval \([0, \sqrt{\pi}]\) by filling out this table and then plotting the corresponding points.
\[
\begin{array}{c|c}
x & \approx F(x) \\
\hline
0 & \\
0.5 & \\
1 & \\
1.5 & \\
\sqrt{\pi} & \\
\end{array}
\]
To fill out each field in this table, use the midpoint approximation with \( n = 100 \) intervals. Explain what technology you used.
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