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Question

The value of integral e61[log x3]dx, where [.] denotes the greatest integer function, is

A
0
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B
e6e3
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C
e6+e3
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D
e3e6
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Solution

The correct option is B e6e3
When 1<x<e3,[log x3]=0
And when e3<x<e6,[log x3]=1
e61[log x3]dx=e31[log x3]dx+e6e3[log x3]dx
=e310 dx+e6e31dx=(e6e3)

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