- #1

DottZakapa

- 239

- 17

- TL;DR Summary
- double integral

could please some one explain the inequality on the right?

in particular how should i see

and

thanks

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- I
- Thread starter DottZakapa
- Start date

- #1

DottZakapa

- 239

- 17

- TL;DR Summary
- double integral

could please some one explain the inequality on the right?

in particular how should i see

and

thanks

- #2

Infrared

Science Advisor

Gold Member

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- #3

DottZakapa

- 239

- 17

why?

- #4

Mark44

Mentor

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Look at the graphs of ##y = x## and ##y = x^2## on the interval [0, 2]. When ##x \in [0, 1]##, which graph is higher? Same question when ##x \in [1, 2]##.why?

- #5

jedishrfu

Mentor

- 14,297

- 8,343

As an example, if ##x=-2## then the comparison would be 4 vs -2 and so -2 is the lesser one.

In this case, ##x=0.5## vs ##x^2=0.25## so that ##x^2## is the lesser when ##x## is between 0 and 1.

and for the case, ## x=1.5## vs ##x^2= 2.25## then ##x## is the lesser one when ##x## is between 1 and 2.

- #6

DottZakapa

- 239

- 17

Aw ok now is clear, thanks a lot

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