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evaluate the following integral ∫ 1 / x log x dx

evaluate the following integral
∫ 1 / x log x dx

Grade:12

1 Answers

Jitender Singh IIT Delhi
askIITians Faculty 158 Points
7 years ago
Ans:
Hello student,
Please find the answer to your question below

I = \int \frac{1}{xlogx}dx
logx = t
\frac{dx}{x} = dt
I = \int \frac{1}{t}dt
I = log(t) + c
I = log(logx) + c

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