KVPY2014MathematicsDefinite Integration
For a real number x let [x] denote the largest integer less than or equal to x and x =x-[x] . Let n be a positive integer. Then ₀^ n (2 [x] x ) d x is equal to :
Options
- A0
- B1
- Cn
- D2 n-1
Correct answer
C. n
Step-by-step solution
₀^ n (2 [x] x y )n ₀¹ (2 [x] 1 d x)=n ₀¹ d x=n