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Express the area of the shaded region in terms of (a) an integral with respect to x and (b) an integral with respect to y. You do not need to evaluate the integrals.

Given: y = x^3, y = âˆšx

Express the shaded region as an integral with respect to x:

A = âˆ«(âˆšx – x) dx

Express the shaded region as an integral with respect to y:

A = âˆ«dy

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02:13

Express the area of the shaded region in terms of (a) an integral with respect to X and (b) an integral with respect to y: You do not need to evaluate the integrals.

Express the shaded region as an integral with respect to x

dx

Express the shaded region as an integral with respect to y:

Video by Kadal S

Numerade Educator

01:50

Set up an integral for the area of the shaded region: Evaluate the integral to find the area of the shaded region

X= y -4Y

(-3,3)

<=?y-y

Video by Linda Hand

Numerade Educator

03:51

Express the area of the following shaded regions in terms of (a) one or more integrals with respect to $x,$ and

(b) one or more integrals with respect to $y .$ You do not need to evaluate the integrals.

(FIGURE CANNOT COPY)

Video by David Marsella

Numerade Educator

07:45

08:52

Transcript

In this question, from the graph, the area of the region with respect to x, y is equal to root x, y is equal to x cube, root x is equal to 7 cube, here x cube, then x is equal to x raised to power 6. So x, x raised to power 5 minus 1 which is equal to 0, the value of x is 0 and 1. When x is equal to 0, y is equal to 0, when x is equal to 1, y is equal to 1. Therefore, the point of the vertex R, point of intersect R, 0, 0.…

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