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Integration (p-1) — Maths (commerce) STD 12 Commerce / Arts — Question

Maharashtra BoardEnglish MediumSTD 12 Commerce / ArtsMaths (commerce)Integration (p-1)1 Mark
Question
Evalute : $\int \frac{1}{x \log x} d x$
✓

Answer

Put $\log x=t$
$
\begin{aligned}
& \therefore \frac{1}{x} dx = dt \\
& \therefore \int \frac{d x}{x \cdot \log x}=\int \frac{1}{\log x} \cdot \frac{1}{x} d x \\
& =\int \frac{1}{t} dt \\
& =\log | t |+ C \\
& =\log |\log x |+ c
\end{aligned}
$

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