Question

Find the area under the graph of f over the interval [2,4]. f(x) = egin{cases} 8x + 5, & ext{for } x le 3 \ 44 - 5x, & ext{for } x > 3 end{cases} The area is (Type an integer or a simplified fraction.)

          Find the area under the graph of f over the interval [2,4].
f(x) = 
egin{cases} 
8x + 5, & 	ext{for } x le 3 \
44 - 5x, & 	ext{for } x > 3 
end{cases}
The area is (Type an integer or a simplified fraction.)

$Find the area under the graph of f over the interval [2,4]. f(x) = egincases 8x + 5, extfor x le 3 44 - 5x, extfor x > 3 endcases The area is (Type an integer or a simplified fraction.)$

Added by Jeremy G.

Calculus: Early Transcendentals

James Stewart 8th Edition

Instant Answer

Solved by Expert Madhur L

07/28/2023

Step 1

To do this, we can integrate f(x) with respect to x from 2 to 3: $$\int_{2}^{3} (8x + 5) dx$$ Show more…

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Find the area under the graph of f over the interval [2,4]. f(x) = 8x + 5, for x ≤ 3 and 44-5x, for x > 3. The area is (Type an integer or a simplified fraction.)