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Find the area of the region bounded by the given curves:

0 votes

f(x)=x and g(x)=x^3

asked Jul 6, 2013 in CALCULUS by mathgirl Apprentice

1 Answer

0 votes

The  given  fuctions  f(x) = x  and  g(x) = x3

The curves intersect at the points(0, 0) and (1,1).

x3< x

The area between them bounded by the horizontal lines x = a and x = b is

Area image

In this interval.  Hence the area is given by

image

image

Apply  limits

image

image

The area of  the region bounded by  the given curves  is 1/4.

answered Jul 6, 2013 by goushi Pupil

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