Math, asked by ibrarjannjann, 13 hours ago

Find the total area between the region and x-axis

3 2 , 2 2

3 2

y  x ​

Answers

Answered by nutanrawat01988
0

Answer:

8

Step-by-step explanation:

Class 12

>>Maths

>>Application of Integrals

>>Area Under Simple Curves

>>Find the total area between...

Question

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Find the total area between the curve y=x

3

and the x-axis between x=−2 and x=2.

Medium

Solution

Correct option is

D

8

Required Area = ∫

0

2

x

3

dx+∫

−2

0

x

3

dx

=[

4

x

4

]

0

2

+[

4

x

4

]

−2

0

=

4

16

+(−

4

16

)

We would take −

4

16

as positive as it is area.

Thus, required area = 4+4=8 sq.units

Answered by Biswabibhusita
0

Answer:

Correct option is

D

8

Required Area = ∫

0

2

x

3

dx+∫

−2

0

x

3

dx

=[

4

x

4

]

0

2

+[

4

x

4

]

−2

0

=

4

16

+(−

4

16

)

We would take −

4

16

as positive as it is area.

Thus, required area = 4+4=8 sq.units

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