SOLUTION: Find the area of the region bounded by the curve y = 5x � x2., x =0, x = 5 and lying above the x-axis.

Question 440073: Find the area of the region bounded by the
curve y = 5x � x2., x =0, x = 5 and lying
above the x-axis.
Answer by robertb(5830) (Show Source): You can put this solution on YOUR website!
Looking at the graph:

The parabolic segment of which we want the area has width w = 5, and height h = 25/4.
Hence by the formula of a parabolic segment,
square units.
If we used integral, we get the same area value:

=

RELATED QUESTIONS
Find the area of the region bounded by the x-axis , the lines y=x and x=2 and the curve... (answered by Fombitz)

Find the area of the region bounded by the y-axis, x-axis and the line y=−2x+4. (answered by math_helper,MathLover1)

Calculate the total area of the region described. Do not count area beneath the x-axis as (answered by Alan3354)

Find the area of the region in the first quadrant bounded by the line y=3x, the line x=5, (answered by MathLover1)

Find the area of the region bounded by x = y3 , x+y=2 , y... (answered by Alan3354)

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 of the region bounded by y = x^3, the x-axis, the y-axis and the line x =... (answered by Edwin McCravy)

Find the area of the region bounded by the graphs of y = x, y = −x + 4, and y =... (answered by Fombitz)