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```				   the value of integrand limit [0 to [x]] {x-[x]}dx (where [.] denotes greatest integer function.
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4 years ago

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```										$\int_{0}^{[x]}x-[x]dx \\=>[x]^2/2-\int_{1}^{2}1dx-\int_{2}^{3}2dx-\int_{3}^{4}3dx..............depends\, value \,of\, [x]$Arun KumarIIT DelhiAskiitians Faculty
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2 years ago
```										x-[x] is periodic with period 1. therefore, ?0[x]x-[x] dx = [x]?01x-[x] dx =[x]/2we can get integral of x-[x] within limits 0 and 1 using method of areas as ½.Therefore the answer is [x]/2
```
2 years ago

How the limits in a problem -pi/3 to + pi/3 can be changed

U will havee to check first if the given function to itegerate is even or odd? If it is odd then the integeral becomes zero automatically. If it is even then, he integeral becomes: 2*f(x)dx ...

solve question number 3,4,5,6.........................................................

I would only give the hints as you could do these questions For qts.4 :: between interval (0,1) integral is zero as between interval (1,2) integral is 3 as For qts5:: IN use and interval...

 vinay 6 months ago
I made a mistake in my previous post. I need help with the integral

very lengthy question... assuming you are not a mathematitian and are studying for marks, here is a tip, if you see this type of long question, quickly skip it, it doesnt matter if you can...

 Asim one month ago
Solve: [log_e (x-1)] / [(x-1)(x-3)]

Dear Student, The your questions seems to be incomplete, please check it. Thanks.

 Vijay Mukati 8 months ago

Dear Student, The your questions seems to be incomplete, please check it. Thanks.

 Raghu Vamshi Hemadri 8 months ago
cos 60

 SHAIK HAFEEZUL KAREEM 2 months ago

cos60=1/2

 venky 8 months ago

1/2

 KARTHIK 8 months ago
What will will come when we differentiate acceleration

when we deferentiate the acceleration we get the jerk.

 RAMCHANDRARAO 4 months ago

the rate of change of acceleration; that is, the derivative of acceleration with respect to time, and as such the second derivative of velocity, or the third derivative of position.“ it is...

 T.kumar 5 months ago

MR. PRABHAKAR its nothing but “JERK“, and its a sudeen movement if u want an example then when u r travelling in the bus if driver puts a sudden brake there is movement in u i.e, jeRk

 Dheeru chowdary 5 months ago
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More Questions On Integral Calculus