Question 870220: Find area of curve y^2=2x and line y=4x
Answer by Alan3354(69443)   (Show Source):
You can put this solution on YOUR website! Find area of curve y^2=2x and line y=4x
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Find area of curve x = y^2/2 and line x=y/4
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The 2 points of intersection are (0,0) and (1/8,1/2)
Integrate wrt to y
x = y^2/2
INT = y^3/6
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x=y/4
INT = y^2/8
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(Ignore the constants of integration)
Area = y^3/6 - y^2/8 from y = 0 to y = 1/2
Area = (1/2)^3/6 - (1/2)^2/8
= 1/48 - 1/32
= 1/96 sq units
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