The graph of y=f(x) lies above the x-axis. The area under the curve from x=0 to x=3 is 7 square units, and from x=3 to x=5 is 5 square units. What is \displaystyle \int_0^5 f(x)\,dx?

AM-597

Definite integral as area

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

The graph of

y=f(x)

lies above the

x

-axis. The area under the curve from

x=0

x=3

is 7 square units, and from

x=3

x=5

is 5 square units. What is

\displaystyle \int_0^5 f(x)\,dx

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