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Question
`int_0^1 "e"^(5logx) "d"x` = ______.
Options
1
`1/2`
`1/3`
`1/6`
MCQ
Fill in the Blanks
Solution
`int_0^1 "e"^(5logx) "d"x` = `1/6`.
Explanation:
`int_0^1 "e"^(5logx) "d"x = int_0^1 "e"^(logx^5) "d"x`
= `int_0^1 x^5 "d"x = [x^6/6]_0^1`
= `1/6`
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