0

Guest

Courses New

Please find attached the image of the problem The problem is a sub problem of a problem. The integral value is 0 as per my knowledge but this does not give all the values of x . The answer given in book is [x]*{x} which satisfies all the values of x. Where [x] = greatest integer function ;{x} = fractional part

Please find attached the image of the problem
The problem is a sub problem of a problem.
 
The integral value is 0 as per my knowledge but this does not give all the values of x .
 
The answer given in book is [x]*{x} which satisfies all the values of x. Where [x] = greatest integer function ;{x} = fractional part

Question Image
Grade:12th pass

1 Answers

Aditya Gupta
2081 Points
4 years ago
first of all the ques in the book is wrong coz the variable of integration and the variable in limits cant be the same.
correct ques should be 
∫ [t] dt from 0 to {x}
now, this means that t ranges from 0 to {x}.
but {x} is less than 1 so that t lies in 0 to 1.
where [t] = 0
so, integral does in fact equal 0 (zero).
kindly approve :))

Think You Can Provide A Better Answer ?

Other Related Questions on Integral Calculus

View all Questions »

ASK QUESTION

Get your questions answered by the expert for free

Answer and earn gift vouchers

Win Gift vouchers upto Rs 500/-

View courses by askIITians

Design classes One-on-One in your own way with Top IITians/Medical Professionals

Click Here Know More

Complete Self Study Package designed by Industry Leading Experts

Click Here Know More

Live 1-1 coding classes to unleash the Creator in your Child

Click Here Know More

a Complete All-in-One Study package Fully Loaded inside a Tablet!

Click Here Know More