2x/1+x² - NCERT Class XII Mathematics Chapter - - Solutions

NCERT Class XII Mathematics Chapter - - Solutions

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

Question : 23 of 271

Marks: +1, -0

\frac{2x}{1+x^2}

Solution:

Let

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

Put

1 + x^2 = t

\Rightarrow 2x dx = dt

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

= \log(1+x^2) + C

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