Advertisements
Advertisements
प्रश्न
Choose the correct alternative:
`int (x + 2)/sqrt(x^2 - 1) "d"x` is
विकल्प
`sqrt(x^2 - 1) - 2log |x + sqrt(x^2 - 1)| + "c"`
`sin^-1x - 2log |x + sqrt(x^2 - 1)| + "c"`
`2log |x + sqrt(x^2 - 1)| - sin^-1x + "c"`
`sqrt(x^2 - 1) + 2log |x + sqrt(x^2 - 1)| + "c"`
उत्तर
`sqrt(x^2 - 1) + 2log |x + sqrt(x^2 - 1)| + "c"`
APPEARS IN
संबंधित प्रश्न
Evaluate : `int1/(x(3+logx))dx`
Find the elasticity of demand if the marginal revenue is ₹ 50 and price is ₹ 75.
Find the volume of the solid generated by the complete revolution of the ellipse `"x"^2/36 + "y"^2/25 = 1` about Y-axis.
Integrate the following functions with respect to x :
(2x – 5)(3x + 4x)
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 :
`(sin 2x)/("a"^2 + "b"^2 sin^2x)`
Integrate the following with respect to x:
27x2e3x
Integrate the following with respect to x:
x2 cos x
Integrate the following with respect to x:
`sin^-1 ((2x)/(1 + x^2))`
Integrate the following with respect to x:
`"e"^(- 3x) cos x`
Integrate the following with respect to x:
`"e"^x (tan x + log sec x)`
Find the integrals of the following:
`1/(9x^2 - 4)`
Find the integrals of the following:
`1/sqrt(9 + 8x - x^2)`
Integrate the following with respect to x:
`(5x - 2)/(2 + 2x + x^2)`
Integrate the following functions with respect to x:
`sqrt(81 + (2x + 1)^2`
Integrate the following functions with respect to x:
`sqrt((x + 1)^2 - 4)`
Choose the correct alternative:
If `int 3^(1/x)/x^2 "d"x = "k"(3^(1/x)) + "c"`, then the value of k is
Choose the correct alternative:
The gradient (slope) of a curve at any point (x, y) is `(x^2 - 4)/x^2`. If the curve passes through the point (2, 7), then the equation of the curve is
Choose the correct alternative:
`int "e"^(- 4x) cos "d"x` is
Choose the correct alternative:
`int "e"^(sqrt(x)) "d"x` is
