Type 4 Lecture 5 Integrals Class 12 Maths

Part - 4 Lecture - 5 Chapter 7 Integrals

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HOTS Questions discussed in this video:

10. \int\frac{x^2+4}{x^4+16}dx=\frac{1}{2\sqrt2}{\tan}^{-1}{\left(\frac{x^2-4}{2\sqrt2x}\right)}+C

11. \int{\sqrt{\tan{x}}dx}=\frac{1}{\sqrt2}{\tan}^{-1}{\left(\frac{\tan{x}-1}{\sqrt{2\tan{x}}}\right)}+\frac{1}{2\sqrt2}\log{\left|\frac{\tan{x}-\sqrt{2\tan{x}}+1}{\tan{x}+\sqrt{2\tan{x}}+1}\right|}+C

12. \int\frac{x^2+1}{x^4+x^2+1}dx=\frac{1}{\sqrt3}{\tan}^{-1}{\left(\frac{x^2-1}{\sqrt{3x}}\right)}+C

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