Lecture 5 Type 1 Integrals Class 12 Maths

Part - 1 Lecture - 5 Chapter 7 Integrals

It is during our darkest moments that we must focus to see the light.

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HOTS Questions discussed in this video:

1. $$\int\frac{1}{\sin{x}+\sin{2}x}dx=\frac{1}{6}\log{|}1-\cos{x}|+\frac{1}{2}\log{|}1+\cos{x}|-\frac{2}{3}\log{|}1+2\cos{x}|+C$$

2. $$\int{\frac{\sin{x}}{\sin{4}x}dx=-\frac{1}{8}\log{\left|\frac{1+\sin{x}}{1-\sin{x}}\right|}}+\frac{1}{4\sqrt2}\log{\left|\frac{1+\sqrt2\sin{x}}{1-\sqrt2\sin{x}}\right|}+C$$