1/x + x x - NCERT Class XII Mathematics Chapter - - Solutions

NCERT Class XII Mathematics Chapter - - Solutions

Exercise - 7.2
Integrate the functions in Exercises 23 to 59.

Question : 25 of 271

Marks: +1, -0

\frac{1}{x + x \log x}

Solution:

Let

I = \int \frac{1}{x + x \log x} \, dx

= \int \frac{1}{x(1 + \log x)} \, dx

Put

1 + \log x = t

\Rightarrow \frac{1}{x} dx = dt

\therefore I = \int \frac{1}{t} \, dt = \log t + C

= \log (1 + \log x) + C

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