SOLUTION: Please help me solve this equation: Let A be the area of the region that lies under the graph of {{{ f(x) = 2x-x^2 }}}, above the x-asis and between x=0 and x=1. a. Estimate A by

Question 345462: Please help me solve this equation: Let A be the area of the region that lies under the graph of , above the x-asis and between x=0 and x=1.
a. Estimate A by taking the sample points to be right endpoints and using three subintervals.
b. Using right endpoints, find an expression for the area as a limit. Evaluate the limit.
Answer by Fombitz(32388) (Show Source): You can put this solution on YOUR website!
Break up the interval into four segments.

,
,
,
,

.
.
.

.
.

Let's work on each sum separately,

.
.
.

.
.
.
Now put it back together,

In the limit, as goes to

RELATED QUESTIONS
Find the area of the region under the graph of f on [a, b]. f(x) = x^2 − 2x + 3;... (answered by Alan3354)

Please help me solve this equation: Consider the function {{{ f(x)= root(3,x) }}}, {{{... (answered by jsmallt9)

Let R be the region enclosed by the graph of : F(x)=5x and g(x)=(X^2)+3x-3 Find the... (answered by Fombitz)

Please help me solve this problem: Let f be a quadratic function. The slope of the... (answered by Fombitz)

Find the area of the region under the graph of f on [a, b]. f(x) = 5/x^2; [1,... (answered by Alan3354)

Please help me! Cannot figure this out. it says: without drawing the graph of the given... (answered by josmiceli)

It asks, without drawing the graph of the given equation, determine: How many... (answered by jim_thompson5910,mangopeeler07)

This is a parabola question. I really need help solving. if you could please show me the... (answered by richwmiller,drk)

Please help me solve this question: Find the area of the region bounded by the curves... (answered by Fombitz)