Question

Use the definite integral to find the area between the x-axis and f(x) over the indicated interval. Check first to see if the graph crosses the x-axis in the given interval. f(x) = 8 - 2x^2; [0,5] For the interval [0,5] the area between the x-axis and f(x) is . (Type an integer or a simplified fraction.)

          Use the definite integral to find the area between the x-axis and f(x) over the indicated interval. Check first to see if the graph crosses the x-axis in the given interval.

f(x) = 8 - 2x^2; [0,5]

For the interval [0,5] the area between the x-axis and f(x) is .
(Type an integer or a simplified fraction.)

$Use the definite integral to find the area between the x-axis and f(x) over the indicated interval. Check first to see if the graph crosses the x-axis in the given interval. f(x) = 8 - 2x^2; [0,5] For the interval [0,5] the area between the x-axis and f(x) is . (Type an integer or a simplified fraction.)$

Added by Joshua T.

Calculus: Early Transcendentals

James Stewart 8th Edition

Instant Answer

Solved by Expert Ma. Theresa Alin

09/10/2022

Step 1

Step 1: Find the intersection point by setting $8 - 2x^2 = 0$: $8 - 2x^2 = 0$ $2x^2 = 8$ $x^2 = 4$ $x = \pm 2$ Since $x$ must be in the interval [0,5], the intersection point is $x = 2$. Show more…

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Use the definite integral to find the area between the x-axis and f(x) over the indicated interval. Check first to see if the graph crosses the x-axis in the given interval. f(x) = 8 - 2x^2; [0,5] For the interval [0,5] the area between the x-axis and f(x) is . (Type an integer or a simplified fraction.)