X y 4 8 express the integral integraldisplay

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xy48Express the integralintegraldisplay integraldisplayDf(x, y)dx dyin repeated integral form.1.I=integraldisplay40integraldisplay2y0f(x, y)dx dycorrect2.I=integraldisplay40integraldisplay82yf(x, y)dx dy3.I=integraldisplay80integraldisplayy/20f(x, y)dx dy4.I=integraldisplay40integraldisplay8yf(x, y)dx dy5.I=integraldisplay80integraldisplay4y/2f(x, y)dx dy6.I=integraldisplay80integraldisplayy4f(x, y)dx dyExplanation:To set up the repeated integral while inte-grating with repect toxfirst, fixyand letxvary along the solid horizontal line in
macias (ygm97) – Homework 13 – staron – (53940)11xy48Since the equation of the slant line isx= 2y,integration inxis along the line from (0, y)to (2y, y) for fixedy, and then fromy= 0 toy= 4.Consequently, the repeated integral will beI=integraldisplay40integraldisplay2y0f(x, y)dx dy.keywords: double integral, reverse order inte-gration, linear function, clicker01710.0points
Which, if any, of the following are correct?4.I=34π2
Explanation:
macias (ygm97) – Homework 13 – staron – (53940)12

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