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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) = 50 - 2x²; [0,8] Set up the integral (or integrals) needed to compute this area. Use the smallest possible number of integrals. Select the correct choice below and fill in the answer boxes to complete your choice. Ο Α. $\int_{0}^{}$ dx Ов. $\int_{0}^{}$ dx + $\int_{}^{8}$ dx O c. $\int_{0}^{}$ dx + $\int_{}^{8}$ dx

          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) = 50 - 2x²; [0,8]
Set up the integral (or integrals) needed to compute this area. Use the smallest possible number of
integrals. Select the correct choice below and fill in the answer boxes to complete your choice.
Ο Α.
$\int_{0}^{}$ dx
Ов.
$\int_{0}^{}$ dx + $\int_{}^{8}$ dx
O c.
$\int_{0}^{}$ dx + $\int_{}^{8}$ dx

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use the definite integral to find the area between the x axis and fx over the indicated interval check first to see if the graph crosses the x axis in the given interval fx 50 2x2 08 set up 39217

Added by Robert C.

Calculus: Early Transcendentals

James Stewart 8th Edition

Instant Answer

Solved by Expert Ma. Theresa Alin

09/10/2022

Step 1

To do this, we set $f(x) = 0$ and solve for x: $50 - 2x^2 = 0$ $2x^2 = 50$ $x^2 = 25$ $x = \pm 5$ Since we are only considering the interval [0, 8], we only care about the positive root, $x = 5$. This means the function crosses the x-axis at $x = 5$. 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) = 50 - 2x²; [0,8] Set up the integral (or integrals) needed to compute this area. Use the smallest possible number of integrals. Select the correct choice below and fill in the answer boxes to complete your choice. Ο Α. $\int_{0}^{}$ dx Ов. $\int_{0}^{}$ dx + $\int_{}^{8}$ dx O c. $\int_{0}^{}$ dx + $\int_{}^{8}$ dx

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