Question

Calculate the integral, assuming that $f$ is integrable and $\int_{1}^{b} f(x) dx = 1 - b^{-1}$ for all $b > 0$. $\int_{1}^{6} (8f(x) - 4) dx = \boxed{}$ Enter your answer an simplified form (as an integer or fraction).

Name: calculate the integral assuming that f is integrable and int1b fx dx 1 b 1 for all b 0 int16 8fx 4 dx boxed enter your answer an simplified form as an integer or fraction 70892
Uploaded: 2020-02-22T00:37:18-08:00
Duration: 1 min 9 s
Channel: Natalie Anderson
Description: calculate the integral assuming that f is integrable and int1b fx dx 1 b 1 for all b 0 int16 8fx 4 dx boxed enter your answer an simplified form as an integer or fraction 70892

          Calculate the integral, assuming that $f$ is integrable and $\int_{1}^{b} f(x) dx = 1 - b^{-1}$ for all $b > 0$.
$\int_{1}^{6} (8f(x) - 4) dx = \boxed{}$
Enter your answer an simplified form (as an integer or fraction).

$calculate the integral assuming that f is integrable and int1b fx dx 1 b 1 for all b 0 int16 8fx 4 dx boxed enter your answer an simplified form as an integer or fraction 70892$

Added by Jaime P.

Calculus: Early Transcendentals

James Stewart 8th Edition

Instant Answer

Solved by Expert Natalie Anderson

02/22/2020

Step 1

We can use the properties of definite integrals to split the given integral: $\int_{1}^{6} (8f(x) - 4) dx = \int_{1}^{6} 8f(x) dx - \int_{1}^{6} 4 dx$ Show more…

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Calculate the integral, assuming that $f$ is integrable and $\int_{1}^{b} f(x) dx = 1 - b^{-1}$ for all $b > 0$. $\int_{1}^{6} (8f(x) - 4) dx = \boxed{}$ Enter your answer an simplified form (as an integer or fraction).