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प्रश्न
The value of `int "e"^(5x) (1/x - 1/(5x^2)) "d"x` is ______.
पर्याय
`"e"^(5x)/5 + "c"`
`"e"^(5x)/(5x) + "c"`
`"e"^(5x)/x + "c"`
`5"e"^(5x) + "c"`
MCQ
रिकाम्या जागा भरा
उत्तर
The value of `int "e"^(5x) (1/x - 1/(5x^2)) "d"x` is `"e"^(5x)/(5x) + "c"`.
Explanation:
`int "e"^(5x) (1/x - 1/(5x^2)) "d"x = "e"^(5x)/(5x) + "c"` .......`[because "e"^(mx) ["f"(x) + ("f'"(x))/"m"] "d"x = ("e"^(mx)"f"(x))/"m" + "c"]`
shaalaa.com
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