Advertisements
Advertisements
Question
Choose the correct alternative:
`int "e"^x/("e"^x + 1) "d"x` is
Options
`log|"e"^x/("e"^x + 1)| + "c"`
`log|("e"^x + 1)/"e"| + "c"`
`log|"e"^x| + "c"`
`log|"e"^x + 1| + "c"`
Solution
`log|"e"^x + 1| + "c"`
APPEARS IN
RELATED QUESTIONS
Integrate the following with respect to x.
`("a"^x - "e"^(xlog"b"))/("e"^(x log "a") "b"^x)`
Integrate the following with respect to x.
`"e"^(2x)/("e"^(2x) - 2)`
Integrate the following with respect to x.
`(4x + 2) sqrt(x^2 + x + 1)`
Integrate the following with respect to x.
`(x^("e" - 1) + "e"^(x - 1))/(x^"e" + "e"^x)`
Integrate the following with respect to x.
`"e"^x [(x - 1)/(x + 1)^3]`
Integrate the following with respect to x.
`1/(9 - 16x^2)`
Integrate the following with respect to x.
`sqrt(2x^2 + 4x + 1)`
Choose the correct alternative:
`int 2^x "d"x` is
Choose the correct alternative:
`int logx/x "d"x, x > 0` is
Evaluate the following integral:
`int (x + 1)^2 log x "d"x`