Calculate L6 for f(x) = V9x + 3 over [1,3]. (Give your answer to three decimal places.)
Calculate L6 for f(x) = V9x + 3 over [1,3]. (Give your answer to three decimal places.)
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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![### Calculating L6 for a Given Function
**Objective:**
Calculate \( L_6 \) for the function \( f(x) = \sqrt{9x + 3} \) over the interval \([1, 3]\).
**Instructions:**
- Provide your answer to three decimal places.
**Answer Box:**
\[ L_6 \approx \boxed{} \]
**Explanation:**
This problem involves calculating an approximation for the integral of the function \( f(x) = \sqrt{9x + 3} \) using the method of left Riemann sums with six subintervals (\( L_6 \)) over the specified interval from 1 to 3.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F53439359-1ad8-43a2-9307-2c193a83e82b%2F96b1aebd-f415-4d77-92a4-d99b5d575267%2Fzp7j9sk_processed.png&w=3840&q=75)
Transcribed Image Text:### Calculating L6 for a Given Function
**Objective:**
Calculate \( L_6 \) for the function \( f(x) = \sqrt{9x + 3} \) over the interval \([1, 3]\).
**Instructions:**
- Provide your answer to three decimal places.
**Answer Box:**
\[ L_6 \approx \boxed{} \]
**Explanation:**
This problem involves calculating an approximation for the integral of the function \( f(x) = \sqrt{9x + 3} \) using the method of left Riemann sums with six subintervals (\( L_6 \)) over the specified interval from 1 to 3.
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