SOLUTION: the area by the curve y^2 = x(2-x) is given by?

Question 1029007: the area by the curve y^2 = x(2-x) is given by?
Answer by robertb(5830) (Show Source): You can put this solution on YOUR website!
has domain the closed interval [0,2]. (Outside it, y^2 = x(2-x)is negative, which is impossible. Verify!!)
==>Area =
=.
Now let .
If x = 2, ,==>
If x = 0, ,==> .
Also,
==> Area =
=
=
=
=
= sq. units.
RELATED QUESTIONS
the area by the curve y^2 = x(2-x) is given by? (answered by Alan3354)

find the area enclosed by the curve... (answered by ikleyn)

Find the area bounded by the x-axis, the curve y = e2x and the ordinates x = 2 and x = 3. (answered by Earlsdon)

Find the area enclosed by the curve, y=25- x^2 and the straight line, y=x+13 (answered by richwmiller,Alan3354)

the area enclosed by the curve y=ax(1-x) (a>zero) and x-axis is divided into two equal... (answered by htmentor)

For the curve given by 4x^2+y^2=48+2xy show that dy/dx =... (answered by Fombitz)

Find the area bounded by y-axis , the curve x^2=4a(y-2a) and... (answered by rothauserc)

Find the area enclosed by the curve x=t^2 - 2t, y=sqrt(t) and the... (answered by Alan3354)

Part of the graph of the function given by the equation y=x^3-2x^2-16x+32 Calculate... (answered by solver91311)