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If I(n)= int (e^(ax))dx/(x^(n)), then I(...

If `I_(n)= int (e^(ax))dx/(x^(n))`, then `I_(n)=`

A

`(e^(x))/((n-1)x^(n-1))+(a)/(n-1)I_(n-1)`

B

`(-e^(ax))/((n-1)x^(n-1))+(a)/(n-1)I_(n-1)`

C

`(-e^(x))/((n-1)x^(n-1))-(a)/(n-1)I_(n-1)`

D

`(-e^(ax))/((n-1)x^(n-1))+(a)/(n+1)I_(n+1)`

Text Solution

Verified by Experts

The correct Answer is:
B
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