Advertisements
Advertisements
Question
Choose the correct alternative:
`int sin sqrt(x) "d"x` is
Options
`2(- sqrt(x) cos sqrt(x) + sin sqrt(x)) + "c"`
`2(- sqrt(x) cos sqrt(x) - sin sqrt(x)) + "c"`
`2(- sqrt(x) sin sqrt(x) - cos sqrt(x)) + "c"`
`2(- sqrt(x) sin sqrt(x) + cos sqrt(x)) + "c"`
Advertisements
Solution
`2(- sqrt(x) cos sqrt(x) + sin sqrt(x)) + "c"`
APPEARS IN
RELATED QUESTIONS
Evaluate : `int (1+logx)/(x(2+logx)(3+logx))dx`
Evaluate : `int _0^1 ("x" . ("sin"^-1 "x")^2)/sqrt (1 - "x"^2)` dx
Integrate the following functions with respect to x :
`(cos2x - cos 2 alpha)/(cosx - cos alpha)`
Integrate the following functions with respect to x :
`(sin4x)/sinx`
Integrate the following functions with respect to x :
`"e"^(x log "a") "e"^x`
Integrate the following functions with respect to x :
`(8^(1 + x) + 4^(1 - x))/2^x`
Integrate the following functions with respect to x :
`(3x - 9)/((x - 1)(x + 2)(x^2 + 1))`
Integrate the following with respect to x :
`("e"^x - "e"^-x)/("e"^x + "e"^-x)`
Integrate the following with respect to x :
`1/(x log x log (log x))`
Integrate the following with respect to x :
sin5x cos3x
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:
`sin^-1 ((2x)/(1 + x^2))`
Find the integrals of the following:
`1/(25 - 4x^2)`
Integrate the following with respect to x:
`(3x + 1)/(2x^2 - 2x + 3)`
Integrate the following with respect to x:
`(x + 2)/sqrt(x^2 - 1)`
Choose the correct alternative:
`int 2^(3x + 5) "d"x` is
Choose the correct alternative:
`int 1/(x sqrt(log x)^2 - 5) "d"x` is
