Advertisements
Advertisements
प्रश्न
Integrate the following with respect to x :
`(sin^-1 x)/sqrt(1 - x^2)`
उत्तर
`int (sin^-1 x)/sqrt(1 - x^2) "d"x`
`sin^-1x` = u
`1/sqrt(1 - x^2) "d"x` = du
`int (sin^-1x)/sqrt(1 - x^2) "d"x = int "u" * "du"`
= `"u"^2/2 + "c"`
`int (sin^-1x)/sqrt(1 - x^2) "d"x = (sin^-1x)^2/2 + "c"`
APPEARS IN
संबंधित प्रश्न
Evaluate : `int (1+logx)/(x(2+logx)(3+logx))dx`
Evaluate : `∫_0^(pi/2) (sinx.cosx)/(1 + sin^4x)`.dx
Evaluate : `int_0^1 "x" . "tan"^-1 "x" "dx"`
Find the elasticity of demand if the marginal revenue is ₹ 50 and price is ₹ 75.
Integrate the following functions with respect to x :
`(cos2x - cos 2 alpha)/(cosx - cos alpha)`
Integrate the following functions with respect to x :
cos 3x cos 2x
Integrate the following functions with respect to x :
`(1 + cos 4x)/(cos x - tan x)`
Integrate the following functions with respect to x :
`(8^(1 + x) + 4^(1 - x))/2^x`
Integrate the following with respect to x :
`1/(x log x log (log x))`
Integrate the following with respect to x:
x sin 3x
Integrate the following with respect to x:
27x2e3x
Integrate the following with respect to x:
`(x sin^-1 x)/sqrt(1 - x^2)`
Integrate the following with respect to x:
`"e"^(2x) sinx`
Find the integrals of the following:
`1/(25 - 4x^2)`
Find the integrals of the following:
`1/((x + 1)^2 - 25)`
Integrate the following functions with respect to x:
`sqrt((x + 1)^2 - 4)`
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 sin sqrt(x) "d"x` is
