Question

`int_0^1 "e"^(5logx) "d"x` = ______.

पर्याय

• 1

• `1/2`

• `1/3`

• `1/6`

Answer 1

`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`