find definite integral to calculate in calculus

Calculus
Tutor: None Selected Time limit: 1 Day

Apr 22nd, 2015
Apr 22nd, 2015
If you like the solution please keep in touch for other queries you might have :)
Apr 22nd, 2015

Sorry in testing, it says shaded area so I think it's under the curve with the function provided. Thanks :-)

Apr 24th, 2015

Yes that is the true, if you calculate the area which is shaded for this

required integral will be

integral(0.5x*x+x+2) from 1 to 5:  
Apr 24th, 2015

Hey Denise please rate my answer soon. And add me as your tutor

Apr 24th, 2015

How did you arrive at that could you show the work?

tks

Apr 24th, 2015

Hey by definition area under curve is defined as definite integral of function under which area is to be evaluated. So I hope you understand this can be proved mathematically using limits concepts and this particular inference is just result from that concept. I have used that result. 

If you want I can refer you to some articles about derivation, its a very long one.


I hope it helps. Please rate soon

 

Apr 24th, 2015

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