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

Find the area of the region bounded by the graph of

sin

–

cos

and the

-axis

between

and

Write an exact, simplified answer.

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question

Find the area of the region bounded by the graph of

cos

and the

-axis

between

and

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

between

and

If the region lies to the right of the

-axis,

then its area is equal to the integral of

(

)

from

Area to the right of the

-axis

∫

(

)

If the region lies to the left of the

-axis,

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

(

)

from

Area to the left of the

-axis

–

∫

(

)

solution

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

cos

and the

-axis

between

and

The region lies to the right of the

-axis

from

Integrate to find its area.

Area

∫

cos

sin

(

)

sin

(

)

–

(

)

sin

(

)

–

(

)

$Confetti$

Excellent!

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