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NCERT Class XII Mathematics Chapter - - Solutions

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Exercise - 7.3
Find the integrals of the functions in Exercises 62 to 83.
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Question : 73 of 271
Marks: +1, -0
sin⁡2x1+cos⁡x\frac{\sin^2 x}{1+\cos x}
Solution:  
Let I=∫sin⁡2x1+cos⁡x dxI=\int \frac{\sin^2 x}{1+\cos x}\,dx =∫1−cos⁡2x1+cos⁡x dx=\int \frac{1-\cos^2 x}{1+\cos x}\,dx
=∫(1−cos⁡x) dx=\int (1-\cos x)\,dx =x−sin⁡x+C=x-\sin x+C
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