integration of {1/log x -1/ (log x)^2 }dx
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your question is ->
you can easily solve this question with help of substitution method
put x = tanθ
differentiating both sides,
dx = sec²θ dθ
now limits : upper limits = 1 = tanθ ⇒θ = π/4 and lower limits = 0 = tanθ ⇒θ = 0°
now,
I =
I = .....(1)
we know,
so,
we know, tan(π/4- θ) = (1 - tanθ)/(1 + tanθ)
so, I =
=
= ......(2)
adding equations (1) and (2),
we get, 2I =
Step-by-step explanation:
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