MHB S8.4.2.48 find int given 2 areas

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The discussion focuses on calculating definite integrals using the properties of integration. Specifically, it addresses the function f(x) defined over the interval $2 \leq x \leq 8$, where the integral from 2 to 4 is calculated as $\int_2^4 f(x) \, dx = 5.9$. The property of definite integrals is applied to find $\int_4^8 f(x) \, dx$, resulting in a value of 1.4, derived from the equation $\int_4^8 f(x) \, dx = 7.3 - 5.9$.

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Screenshot 2020-09-18 at 3.12.18 PM.png

screenshot to avoid typosok I assume f(x) is the eq of a sloped line.. well at the simplest option
at $2\ge x \ge 8$ so $y=\dfrac{7.3}{6}$ but I don't know how to get the slope so $\displaystyle\int_2^4 f(x) = 5.9$
 
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property of definite integrals ...

$\displaystyle \int_a^b f(x) \, dx + \int_b^c f(x) \, dx = \int_a^c f(x) \, dx$
 
so $\displaystyle\int_4^8f(x) =7.3-5.9=1.4$
 

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