## Part - 5 Lecture - 5 Chapter 7 Integrals

“Don’t let yesterday take up too much of today.” – Will Rogers

Booklets/Notes/Assignments are typed here on this website and their PDFs will be made available soon.

HOTS Questions discussed in this video:

13. $$\int\sqrt{\cot{x}}+\sqrt{\tan{x}}dx=\sqrt2{\tan}^{-1}{\left(\frac{\tan{x}-1}{\sqrt{2\tan{x}}}\right)}+C$$

14. $$\int\frac{\sin{x}+\cos{x}}{\sqrt{\sin{2}x}}dx={\sin}^{-1}{(}\sin{x}-\cos{x})+C$$

15. $$\int_{0}^{\frac{\pi}{4}}\frac{\sin{x}+\cos{x}}{9+16\sin{2}x}dx=\frac{1}{40}\log{9}$$