IXL - Areas of regions bounded by two curves: functions of x (Calculus practice)

Find the area of the region bounded by the graphs of

cos

and

–

between

and

Write an exact, simplified answer.

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question

Find the area of the region bounded by the graphs of

and

–

between

and

Write an exact, simplified answer.

key idea

Suppose

(

)

and

(

)

are continuous and

(

)

≥

(

)

on the interval

[

]

The area of the region bounded by the graphs of

(

)

and

(

)

between

and

can be calculated as follows.

Area between the graphs

∫

(

)

–

(

)

solution

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

and

–

between

and

Both functions are continuous and

≥

–

on the interval

[

]

So, integrate to find the area of the region.

Area

∫

(

–

(

–

)

∫

(

)

(

)

(

)

(

)

–

(

)

(

)

$Confetti$

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