Let and . The graphs of and intersect at and . Write, but do not evaluate, a single…

MATHEMATICS · Subjective · AP · Calculus AB · Applications of Integration · Applications of Integration

Problem

Let

f(x)=x^{2}+1

and

g(x)=\dfrac{x^{2}}{2}+x

. The graphs of

f

and

g

intersect at

x=0

and

x=2

. Write, but do not evaluate, a single definite integral that represents the exact area of the region enclosed by the two graphs between their points of intersection.

Related theory

Area Between Curves
Area Applications
Applications of Integration

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