Advertisements
Advertisements
Question
Integrate the following with respect to x :
`cot x/(log(sin x))`
Advertisements
Solution
`int cot x/(log(sin x)) "d"x`
Put `log(sin x)` = u
`1/sin x xx cos x "d"x` = du
`cosx/sinx * "d"x` = du
`cot x * "d"x` = du
`int cot x/(log(sin x)) "d"x = int "du"/"u"`
= `log |"u"| + "c"`
`int cot x/(log(sin x)) "d"x = log |log(sin x)| + "c"`
APPEARS IN
RELATED QUESTIONS
Integrate the following functions with respect to x :
`(sin^2x)/(1 + cosx)`
Integrate the following functions with respect to x :
cos 3x cos 2x
Integrate the following functions with respect to x :
`"e"^(x log "a") "e"^x`
Integrate the following with respect to x :
`("cosec" x)/(log(tan x/2))`
Integrate the following with respect to x :
`(sin 2x)/("a"^2 + "b"^2 sin^2x)`
Integrate the following with respect to x :
`tan x sqrt(sec x)`
Integrate the following with respect to x:
x3 sin 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) cos 2x`
Integrate the following with respect to x:
`"e"^(- 3x) sin 2x`
Integrate the following with respect to x:
`"e"^(- 4x) sin 2x`
Find the integrals of the following:
`1/(25 - 4x^2)`
Find the integrals of the following:
`1/(9x^2 - 4)`
Find the integrals of the following:
`1/sqrt(xx^2 + 4x + 2)`
Integrate the following with respect to x:
`(x + 2)/sqrt(x^2 - 1)`
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:
`int ("e"^x (1 + x))/(cos^2(x"e"^x)) "d"x` is
Choose the correct alternative:
`int "e"^(- 4x) cos "d"x` is
