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

NCERT Class XII Mathematics Chapter - - Solutions

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

Question : 53 of 271

Marks: +1, -0

\frac{\sin x}{(1+\cos x)^2}

Solution:

Let

I = \frac{\sin x}{(1+\cos x)^2} dx

Put

1 + \cos x = t

\Rightarrow - \sin x \, dx = dt

\therefore I = -\int \frac{dt}{t^2} = \frac{t^{-2+1}}{-2+1} + C

= \frac{1}{t} + C

= \frac{1}{1+\cos x} + C

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