Advertisements
Advertisements
प्रश्न
Integrate the following with respect to x.
`("e"^(3x) - "e"^(-3x))/"e"^x`
Advertisements
उत्तर
`int (("e"^(3x) - "e"^(-3x))/"e"^x) "d"x = int ("e"^(3x)/"e"^x - "e"^(-3x)/"e"^x) "d"x`
= `int ("e"^(2x) - "e"^(-4x)) "d"x`
= `"e"^(2x)/2 - "e"^(-4x)/(-4) + "c"`
= `"e"^(2x)/2 + "e"^(-4x)/4 + "c"`
APPEARS IN
संबंधित प्रश्न
Integrate the following with respect to x.
`sqrt(x)(x^3 - 2x + 3)`
Integrate the following with respect to x.
`1/(sqrt(x + 1) + sqrt(x - 1))`
Integrate the following with respect to x.
`(3x^2 - 2x + 5)/((x - 1)(x^2 + 5))`
Integrate the following with respect to x.
`(cos 2x + 2sin^2x)/(cos^2x)`
Integrate the following with respect to x.
ex(1 + x) log(xex)
Integrate the following with respect to x.
`"e"^(3x) [(3x - 1)/(9x^2)]`
Integrate the following with respect to x.
`1/(x^2 + 3x + 2)`
Integrate the following with respect to x.
`sqrt(x^2 - 2)`
Choose the correct alternative:
`int_0^4 (sqrt(x) + 1/sqrt(x)) "d"x` is
Evaluate the following integral:
`int log (x - sqrt(x^2 - 1)) "d"x`
