(1+ x)²/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 : 57 of 271

Marks: +1, -0

\frac{(1+\log x)^2}{x}

Solution:

Let

I=\int\frac{(1+\log x)^2}{x}dx

Put

1+\log x=t\Rightarrow\frac{1}{x}dx=dt

\therefore I=\int t^2 dt=\frac{t^3}{3}+C

=\frac{1}{3}(1+\log x)^3+C

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