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sketch the region whose area is given by the definite integral. Then use a geometric formula to evaluate the integral (a > 0, r > 0).

sketch the region whose area is given by the definite integral. Then use a geometric-example-1
User Tubs
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we have the function

f(x)=x/4

Domain interval [0,8]

using a graphing tool

Evaluate the integral


\int_0^8(x)/(4)dx=8

Verify

Calculate the area of the right triangle in the above figure

A=(8)(2)/2

A=8 unit2 ----> is ok

sketch the region whose area is given by the definite integral. Then use a geometric-example-1
User Vincent Robert
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