Find F as a function of x and evaluate it at x = 2, x = 5 and x = 9. - $² = F(x) = F(2) F(5) = F(9) = = F(x)= # Need Help? (t³ + 8t - 5) dt 41² +5t-10 Read It

Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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**Problem Statement:**

Find \( F \) as a function of \( x \) and evaluate it at \( x = 2 \), \( x = 5 \), and \( x = 9 \).

\[
F(x) = \int_{2}^{x} (t^3 + 8t - 5) \, dt
\]

**Solution:**

\[
F(x) = \frac{t^4}{4} + 4t^2 + 5t - 10
\]

**Evaluations:**

\[
F(2) = \, \_\_\_
\]
\[
F(5) = \, \_\_\_
\]
\[
F(9) = \, \_\_\_
\]

**Note:**

Click "Need Help? Read It" for additional resources or guidance.
Transcribed Image Text:**Problem Statement:** Find \( F \) as a function of \( x \) and evaluate it at \( x = 2 \), \( x = 5 \), and \( x = 9 \). \[ F(x) = \int_{2}^{x} (t^3 + 8t - 5) \, dt \] **Solution:** \[ F(x) = \frac{t^4}{4} + 4t^2 + 5t - 10 \] **Evaluations:** \[ F(2) = \, \_\_\_ \] \[ F(5) = \, \_\_\_ \] \[ F(9) = \, \_\_\_ \] **Note:** Click "Need Help? Read It" for additional resources or guidance.
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