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

NCERT Class XII Mathematics Chapter - - Solutions

Exercise - 7.3
Find the integrals of the functions in Exercises 62 to 83.

Question : 69 of 271

Marks: +1, -0

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

Solution:

Let

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

=\int \frac{2\sin^2\frac{x}{2}}{2\cos^2\frac{x}{2}}dx

=\int \tan^2\frac{x}{2}dx

=\int \left(\sec^2\frac{x}{2}-1\right)dx

=\frac{\tan\frac{x}{2}}{\frac{1}{2}}-x+C

=2\tan\frac{x}{2}-x+C

Go to Question: