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Question: If [ . ] denotes greatest integer function, then <img src="https://cdn.pureessence.tech/canvas_169....

If [ . ] denotes greatest integer function, then

is equal to -

A

5

B

4

C

3

D

None of these

Answer

3

Explanation

Solution

I = ..... (i)

̃ I = 28[(10x)2][x2]+[(x10)2]dx\int _ { 2 } ^ { 8 } \frac { \left[ ( 10 - x ) ^ { 2 } \right] } { \left[ x ^ { 2 } \right] + \left[ ( x - 10 ) ^ { 2 } \right] } d x ..... (ii)

\ 2 I = = 6 ̃ I = 3