Question

10) use a definite integral to find the area of the region between the given curve and the x-axis on the interval [0, b]. a) $y = 3x^2$ b) $y = 2x$

          10) use a definite integral to find the area of the region between the given curve and the x-axis on the interval [0, b].
a) $y = 3x^2$
b) $y = 2x$

Added by Jessica P.

Calculus: Early Transcendentals

James Stewart 8th Edition

Instant Answer

Solved by Expert Regina Hays

04/15/2020

Step 1

To do this, we set the equation of the curve equal to 0 and solve for x. For y = 3x^2, when y = 0, we have: 0 = 3x^2 Solving for x, we get x = 0. For y = 2x, when y = 0, we have: 0 = 2x Solving for x, we get x = 0. So, the points of intersection are at x = 0. Show more…

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use a definite integral to find the area of the region between the given curve and the x-axis on the interval 0,b. a) y=3x^(2) b) y=2x <10 marks > 10) use a definite integral to find the area of the region between the given curve and the x-axis on the interval [0, b]. a) y=3x2 y = 2x <10 marks >