Advertisements
Advertisements
प्रश्न
Choose the correct alternative:
`int "e"^(sqrt(x)) "d"x` is
पर्याय
`2sqrt(x) (1 - "e"^(sqrt(x))) + "c"`
`2sqrt(x) ("e"^(sqrt(x)) - 1) + "c"`
`2"e"^(sqrt(x)) (1 - sqrt(x)) + "c"`
`2"e"^(sqrt(x)) (sqrt(x) - 1) + "c"`
उत्तर
`2"e"^(sqrt(x)) (sqrt(x) - 1) + "c"`
APPEARS IN
संबंधित प्रश्न
Integrate the following functions with respect to x :
`(x^3 + 4x^2 - 3x + 2)/x^2`
Integrate the following functions with respect to x :
`[sqrt(x) + 1/sqrt(x)]^2`
Integrate the following functions with respect to x :
(2x – 5)(3x + 4x)
Integrate the following functions with respect to x :
`"e"^(x log "a") "e"^x`
Integrate the following functions with respect to x :
`(x + 1)/((x + 2)(x + 3))`
Integrate the following with respect to x :
`x^2/(1 + x^6)`
Integrate the following with respect to x :
`("e"^x - "e"^-x)/("e"^x + "e"^-x)`
Integrate the following with respect to x :
`(10x^9 + 10^x log_"e" 10)/(10^x + x^10)`
Integrate the following with respect to x :
`alpha beta x^(alpha - 1) "e"^(- beta x^alpha)`
Integrate the following with respect to x:
x sec x tan x
Integrate the following with respect to x:
x2 cos x
Integrate the following with respect to x:
x3 sin x
Find the integrals of the following:
`1/((x + 1)^2 - 25)`
Find the integrals of the following:
`1/sqrt(9 + 8x - x^2)`
Integrate the following with respect to x:
`(2x - 3)/(x^2 + 4x - 12)`
Choose the correct alternative:
`int secx/sqrt(cos2x) "d"x` is
Choose the correct alternative:
`int tan^-1 sqrt((1 - cos 2x)/(1 + cos 2x)) "d"x` is
Choose the correct alternative:
`int x^2 cos x "d"x` is
Choose the correct alternative:
`int sqrt((1 - x)/(1 + x)) "d"x` is
Choose the correct alternative:
`int x^2 "e"^(x/2) "d"x` is