S6 = = [₁5² 5 dx.
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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Question
![**Calculate the integral approximation \( S_6 \) for**
\[ \int_{-1}^{0} 5^{-x^2} \, dx. \]
**Explanation:**
This problem asks you to calculate an integral approximation using a method that involves six subintervals, denoted as \( S_6 \). You are tasked with approximating the integral of the function \( 5^{-x^2} \) from \( x = -1 \) to \( x = 0 \). Typically, methods such as Trapezoidal Rule, Simpson's Rule, or other numerical integration techniques are employed to approximate such integrals.
**Input Box:**
Below the problem statement, there is an input box designed for entering the computed value of the approximation \( S_6 \).](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fd4f4b624-9180-41b5-94fa-c093ec7455d7%2Fb00de53e-6e82-40f8-8b28-f723df62b58a%2F43ykwa_processed.png&w=3840&q=75)
Transcribed Image Text:**Calculate the integral approximation \( S_6 \) for**
\[ \int_{-1}^{0} 5^{-x^2} \, dx. \]
**Explanation:**
This problem asks you to calculate an integral approximation using a method that involves six subintervals, denoted as \( S_6 \). You are tasked with approximating the integral of the function \( 5^{-x^2} \) from \( x = -1 \) to \( x = 0 \). Typically, methods such as Trapezoidal Rule, Simpson's Rule, or other numerical integration techniques are employed to approximate such integrals.
**Input Box:**
Below the problem statement, there is an input box designed for entering the computed value of the approximation \( S_6 \).
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