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How to Find the area A enclosed by the graphs of the given functions:

0 votes

f(x)=√(x), g(x)=x^2?

asked May 14, 2014 in CALCULUS by anonymous

2 Answers

0 votes

The functions are f (x ) = √ and g (x) = x 2

To find the area enclosed by the graphs of given functions.

To find the limits where does the f (x ) = √x and g (x ) = x 2 graphs intersects.

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From the graph the functions f(x) and g(x) are intersection points 0 or 1.

To find area need to definite integration on linterval [0 ,1]

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Area enclosed by the graphs of the functions f (x ) = √x and g (x ) = x 2is A  = 1/3 squre units.

answered May 14, 2014 by david Expert
edited May 14, 2014 by david
0 votes

The graphs intersect at f(x) = g(x).
 

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Because f(x) ≥ g(x) for 0 ≤ x ≤ 1 find the area enclosed by the graphs as:
 

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Area enclosed by the graphs is 1/3 square units.

answered May 15, 2014 by joly Scholar

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