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Please solve the following question

Asked by Balbir 7th October 2017, 11:20 PM
Answered by Expert
Answer:
begin mathsize 16px style straight I equals integral straight a to the power of straight x space open square brackets logx space plus space loga space log open parentheses straight x to the power of straight x over straight e to the power of straight x close parentheses close square brackets dx
straight I equals integral straight a to the power of straight x space open square brackets logx space plus space loga space open parentheses logx to the power of straight x space minus space loge to the power of straight x close parentheses close square brackets dx
straight I equals integral straight a to the power of straight x space open square brackets logx space plus space loga space open parentheses xlogx space minus space straight x close parentheses close square brackets dx
straight I equals integral open square brackets loga space open parentheses xlogx space minus space straight x close parentheses space plus space straight a to the power of straight x space logx close square brackets space dx
For space the space integral space straight a to the power of straight x space logx space integrate space by space parts space where
straight u space equals space straight a to the power of straight x space and space straight v space equals space log space straight x
For space the space integral space loga space open parentheses xlogx space minus space straight x close parentheses space we space get space straight a to the power of straight x space open parentheses xlogx space minus straight x close parentheses

end style
Answered by Expert 18th December 2017, 10:53 AM
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