Suppose that f(1) = 3, f(4) = 5, f'(1) = 5, f'(4) = 3, and f” is continuous. Find the value of ∫

Name: Suppose that f(1) = 3, f(4) = 5, f'(1) = 5, f'(4) = 3, and f” is continuous. Find the value of ∫1^4 xf”(x)dx.
Uploaded: 2022-04-30T21:33:59-08:00
Duration: 2 min 10 s
Channel: Zhumagali Shomanov
Description: Suppose that f(1) = 3, f(4) = 5, f'(1) = 5, f'(4) = 3, and f” is continuous. Find the value of ∫1^4 xf”(x)dx.

Step 1: Since f is continuous, we can use the Fundamental Theorem of Calculus to find the value

Question

Suppose that $f(1) = 3$, $f(4) = 5$, $f'(1) = 5$, $f'(4) = 3$, and $f''$ is continuous. Find the value of $\int_1^4 xf''(x)dx$.

          Suppose that $f(1) = 3$, $f(4) = 5$, $f'(1) = 5$, $f'(4) = 3$, and $f''$ is continuous. Find the value of $\int_1^4 xf''(x)dx$.

Suppose that f(1) = 3, f(4) = 5, f'(1) = 5, f'(4) = 3, and f” is continuous. Find the value of ∫1^4 xf”(x)dx.

Added by Victor Manuel H.

Calculus: Early Transcendentals

James Stewart 8th Edition

Instant Answer

Solved by Expert Zhumagali Shomanov

04/30/2022

Step 1

According to the theorem, if F(x) is an antiderivative of f(x), then ∫f(x)dx = F(b) - F(a), where a and b are the limits of integration. Show more…

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Texts: 8.[0/12.5 Points] DETAILS PREVIOUS ANSWERS SCALCET87.1.071 Suppose that f(1)=3, f(4)=5, f(1)=5, f(4)=3, and f is continuous. Find the value of ∫f(x)dx. Need Help? Read It Watch It