Advertisements
Advertisements
प्रश्न
Integrate the following with respect to x.
`[1 - 1/2]"e"^((x + 1/x))`
उत्तर
= `int (1 - 1/x^2) "e"^((x + 1/x)) "d"x`
= `int "e"^((x + 1/x)) (1 - 1/x^2) "d"x`
= `int "e"^((x + 1/x)) "d" (x + 1/x)`
= `"e"^(x + 1/x) + "c"`
APPEARS IN
संबंधित प्रश्न
Integrate the following with respect to x.
`sqrt(3x + 5)`
Integrate the following with respect to x.
`("e"^(3logx))/(x^4 + 1)`
Integrate the following with respect to x.
`"e"^x [1/x^2 - 2/x^3]`
Integrate the following with respect to x.
`1/(2x^2 + 6x - 8)`
Integrate the following with respect to x.
`1/sqrt(x^2 - 3x + 2)`
Integrate the following with respect to x.
`1/(x + sqrt(x^2 - 1)`
Choose the correct alternative:
`int "e"^x/sqrt(1 + "e"^x) "d"x` is
Choose the correct alternative:
If `int_0^1 f(x) "d"x = 1, int_0^1 x f(x) "d"x = "a"`, and `int_0^1 x^2 f(x) "d"x = "a"^2`, then `int_0^1 ("a" - x)^2 f(x) "d"x` is
Choose the correct alternative:
`int_0^4 (sqrt(x) + 1/sqrt(x)) "d"x` is
Evaluate the following integral:
`int ("d"x)/(2 - 3x - 2x^2)`