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
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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.
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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