Suppose f(z) has the following properties: f(6) = 3 f(10) = 8 10 f(z) dz = 12 10 [" I f(z) dr = 10 10 [™ 2² ƒ(2) dz f(x) = 13 Evaluate: 10 [" ( − 42 − 3)ƒ' (2) dz = [
Suppose f(z) has the following properties: f(6) = 3 f(10) = 8 10 f(z) dz = 12 10 [" I f(z) dr = 10 10 [™ 2² ƒ(2) dz f(x) = 13 Evaluate: 10 [" ( − 42 − 3)ƒ' (2) dz = [
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
Related questions
Question
![Suppose \( f(x) \) has the following properties:
\[
\begin{align*}
f(6) &= 3 \\
f(10) &= 8 \\
\int_{6}^{10} f(x) \, dx &= 12 \\
\int_{6}^{10} x \, f(x) \, dx &= 10 \\
\int_{6}^{10} x^2 \, f(x) \, dx &= 13 \\
\end{align*}
\]
Evaluate:
\[
\int_{6}^{10} (-4x - 3) f'(x) \, dx = \boxed{\phantom{0}}
\]](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fc28801d2-5244-43a8-94e3-88d6acce7d2a%2F713b840f-f304-431f-98b0-2fabdd5bc66f%2Fdbe81k_processed.png&w=3840&q=75)
Transcribed Image Text:Suppose \( f(x) \) has the following properties:
\[
\begin{align*}
f(6) &= 3 \\
f(10) &= 8 \\
\int_{6}^{10} f(x) \, dx &= 12 \\
\int_{6}^{10} x \, f(x) \, dx &= 10 \\
\int_{6}^{10} x^2 \, f(x) \, dx &= 13 \\
\end{align*}
\]
Evaluate:
\[
\int_{6}^{10} (-4x - 3) f'(x) \, dx = \boxed{\phantom{0}}
\]
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