IXL - Areas of regions bounded by graphs and the x-axis (Calculus practice)

Find the area of the region bounded by the graph of

(

)

and the

-axis

on the interval

[

]

Write an exact, simplified answer.

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question

Find the area of the region bounded by the graph of

(

)

and the

-axis

on the interval

[

]

Write an exact, simplified answer.

key idea

You can use integration to find the area between the graph of an integrable function

(

)

and the

-axis

on an interval

[

]

If the region lies above the

-axis,

then its area is equal to the integral of

(

)

from

Area above the

-axis

∫

(

)

If the region lies below the

-axis,

then its area is equal to the opposite of the integral of

(

)

from

Area below the

-axis

–

∫

(

)

solution

You were asked to find the area of the region bounded by the graph of

(

)

and the

-axis

on the interval

[

]

The region lies above the

-axis

from

Integrate to find its area.

Area of the region

∫

(

)

∫

–

$Confetti$

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Q.4Definite integrals and net area

T.4Evaluate definite integrals: mixed review

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