Question

Suppose $f(x)$ has the following properties: $f(1) = 6$ $f(2) = 4$ $\int_1^2 f'(x) dx = 13$ $\int_1^2 x f'(x) dx = 10$ $\int_1^2 x^2 f'(x) dx = 16$ Evaluate: $\int_1^2 (18x - 5) f(x) dx = $

          Suppose $f(x)$ has the following properties:
$f(1) = 6$
$f(2) = 4$
$\int_1^2 f'(x) dx = 13$
$\int_1^2 x f'(x) dx = 10$
$\int_1^2 x^2 f'(x) dx = 16$
Evaluate:
$\int_1^2 (18x - 5) f(x) dx = $

Suppose f(x) has the following properties:
f(1) = 6
f(2) = 4
∫1^2 f'(x) dx = 13
∫1^2 x f'(x) dx = 10
∫1^2 x^2 f'(x) dx = 16
Evaluate:
∫1^2 (18x - 5) f(x) dx =

Added by Madison B.

Calculus: Early Transcendentals

James Stewart 8th Edition

Instant Answer

Solved by Expert Adi S

07/18/2023

Step 1

Let $u = 18x - 5$ and $dv = f(x) dx$. Then $du = 18 dx$ and $v = \int f(x) dx = f(x)$. Show more…

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Suppose $f(x)$ has the following properties: $f(1) = 6$ $f(2) = 4$ $\int_1^2 f'(x) dx = 13$ $\int_1^2 x f'(x) dx = 10$ $\int_1^2 x^2 f'(x) dx = 16$ Evaluate: $\int_1^2 (18x - 5) f(x) dx = $