Advertisements
Advertisements
Question
Choose the correct alternative:
`int 1/(x sqrt(log x)^2 - 5) "d"x` is
Options
`log |x + sqrt(x^2 - 5)| + "c"`
`log|log x + sqrt(log x - 5)| + "c"`
`log|log x + sqrt((log x)^2 - 5)| + "c"`
`log|log x - sqrt((log x)^2 - 5)| + "c"`
Advertisements
Solution
`log |log x + sqrt((log x)^2 - 5)| + "c"`
APPEARS IN
RELATED QUESTIONS
Evaluate : `int_0^1 "x" . "tan"^-1 "x" "dx"`
Find the volume of the solid generated by the complete revolution of the ellipse `"x"^2/36 + "y"^2/25 = 1` about Y-axis.
Evaluate:`int(tansqrtx)/sqrtxdx`
Integrate the following functions with respect to x :
`(x^3 + 4x^2 - 3x + 2)/x^2`
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 :
`(8^(1 + x) + 4^(1 - x))/2^x`
Integrate the following functions with respect to x :
`1/(sqrt(x + 3) - sqrt(x - 4))`
Integrate the following functions with respect to x :
`(x + 1)/((x + 2)(x + 3))`
Integrate the following functions with respect to x :
`x^3/((x - 1)(x - 2))`
Integrate the following with respect to x :
`("e"^x - "e"^-x)/("e"^x + "e"^-x)`
Integrate the following with respect to x :
`cot x/(log(sin x))`
Integrate the following with respect to x:
25xe–5x
Integrate the following with respect to x:
`"e"^x sec x(1 + tan x)`
Find the integrals of the following:
`1/(25 - 4x^2)`
Find the integrals of the following:
`1/(6x - 7 - x^2)`
Integrate the following with respect to x:
`(2x + 3)/sqrt(x^2 + 4x + 1)`
Integrate the following functions with respect to x:
`sqrt(x^2 - 2x - 3)`
Choose the correct alternative:
`int ("e"^x(x^2 tan^-1x + tan^-1x + 1))/(x^2 + 1) "d"x` is
Choose the correct alternative:
`int "e"^(- 7x) sin 5x "d"x` is
