x/1+ 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 : 52 of 271

Marks: +1, -0

\frac{\sin x}{1+\cos x}

Solution:

Let

I=\int\frac{\sin x}{1+\cos x}dx

Put

1 + \cos x = t

\Rightarrow - \sin x \, dx = dt

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

=-\log|1+\cos x|+C

=\log\left(\frac{1}{|1+\cos x|}\right)+C

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