Advertisements
Advertisements
Question
Choose the correct alternative:
`int secx/sqrt(cos2x) "d"x` is
Options
`tan^-1 (sin x) + "c"`
`2sin^-1 (tan x) + "c"`
`tan^-1 (cos x) + "c"`
`sin^-1 (tan x) + "c"`
Advertisements
Solution
`sin^-1 (tan x) + "c"`
APPEARS IN
RELATED QUESTIONS
Evaluate : `∫_0^(pi/2) (sinx.cosx)/(1 + sin^4x)`.dx
Integrate the following functions with respect to x :
cot2x + tan2x
Integrate the following functions with respect to x :
`(sin4x)/sinx`
Integrate the following functions with respect to x :
cos 3x cos 2x
Integrate the following functions with respect to x :
sin2 5x
Integrate the following functions with respect to x :
`(8^(1 + x) + 4^(1 - x))/2^x`
Integrate the following with respect to x :
`x^2/(1 + x^6)`
Integrate the following with respect to x :
`sqrt(x)/(1 + sqrt(x))`
Integrate the following with respect to x:
x sin 3x
Integrate the following with respect to x:
x sec x tan x
Integrate the following with respect to x:
x5ex2
Integrate the following with respect to x:
`"e"^(2x) sinx`
Integrate the following with respect to x:
`"e"^x sec x(1 + tan x)`
Integrate the following with respect to x:
`"e"^x ((2 + sin 2x)/(1 + cos 2x))`
Find the integrals of the following:
`1/((x + 1)^2 - 25)`
Integrate the following with respect to x:
`(2x - 3)/(x^2 + 4x - 12)`
Integrate the following functions with respect to x:
`sqrt(x^2 + 2x + 10)`
Choose the correct alternative:
`int ("e"^(6 log x) - "e"^(5logx))/("e"^(4logx) - "e"^(3logx)) "d"x` is
Choose the correct alternative:
`int ("d"x)/("e"^x - 1)` is
Choose the correct alternative:
`int "e"^(- 4x) cos "d"x` is
