# Type 5 Lecture 5 Integrals Class 12 Maths

## Part - 5 Lecture - 5 Chapter 7 Integrals

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