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Evaluate int(1)^(a)x.a^(-[log(e)x])dx,(a...

Evaluate `int_(1)^(a)x.a^(-[log_(e)x])dx,(agt1)`.Here `[.]` represents the greatest integer function.

Text Solution

Verified by Experts

The correct Answer is:
`1/2(a^(2)-1)`
`Iltxlta`
or `0ltlog_(a)xlt1`
or `[log_(a)x]=0`
`:.I=int_(1)^(a)x dx=1/2 (a^(2)-1)`
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