Math, asked by rahulkumarpanda2, 16 days ago

Find the length of the arc of the curve y = x(2-x) as x varies from 0 to 2.​

Answers

Answered by divyamuniraj1239
0

Answer:

I used WolframAlpha

s

=

1

0

1

+

sinh

2

(

x

)

d

x

1.1752

Explanation:

From the reference on Arc Length we write the equation:

s

=

b

a

1

+

(

d

y

d

x

)

2

d

x

Given:  

a

=

0

,

b

=

1

,

and

y

=

cosh

(

x

)

We know that  

d

y

d

x

=

sinh

(

x

)

The arc length integral is:

s

=

1

0

1

+

sinh

2

(

x

)

d

x

1.1752

Step-by-step explanation:

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