AM-598

Definite integral as area

A Math · Secondary 3 · Medium · Definite integral as area

For a curve

y=f(x)

, the region between the curve and the

x

-axis from

x=1

x=4

has area 9 square units. The curve lies entirely below the

x

-axis on this interval. What is

\displaystyle \int_1^4 f(x)\,dx

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