Math, asked by ombdave, 6 months ago

please solve this don't spam​

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Answered by kanishkhandelwal
0

Answer:

.} - Fractional part of x.

[.] - Greatest integer function.

As integration can be broken into parts, where as integration of x−−√ is easy , so lets look for the integration for [ x−−√ ].

We just need to check where this greater integer function is discontinous beause those will be the points where we have to break the integration again.

Break 1: When x varies from 0 to 1 [ x−−√ ] value will be 0.

Break 2: When x varies from 1 to 4 [ x−−√ ] value will be 1.

Break 3: When x varies from 4 to 9 [ x−−√ ] value will be 2.

So the integration becomes:

∫90x−−√dx - ( ∫100dx + ∫411dx + ∫942dx )

Rest I leave it for you.

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Answered by Ishaani20
0

Answer:

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