Advertisements
Advertisements
प्रश्न
Integrate the following with respect to x :
`cot x/(log(sin x))`
Advertisements
उत्तर
`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
संबंधित प्रश्न
Evaluate : `int1/(x(3+logx))dx`
Evaluate:`int(tansqrtx)/sqrtxdx`
Evaluate : `int _0^1 ("x" . ("sin"^-1 "x")^2)/sqrt (1 - "x"^2)` dx
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 :
`sqrt(x)/(1 + sqrt(x))`
Integrate the following with respect to x :
`1/(x log x log (log x))`
Integrate the following with respect to x :
`cosx/(cos(x - "a"))`
Integrate the following with respect to x:
x log x
Integrate the following with respect to x:
27x2e3x
Integrate the following with respect to x:
`sin^-1 ((2x)/(1 + x^2))`
Integrate the following with respect to x:
`"e"^(- 4x) sin 2x`
Find the integrals of the following:
`1/(9x^2 - 4)`
Find the integrals of the following:
`1/((x + 1)^2 - 25)`
Integrate the following functions with respect to x:
`sqrt(x^2 + 2x + 10)`
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:
`int sin^2x "d"x` is
Choose the correct alternative:
`int sin sqrt(x) "d"x` is
