Lecture 4 Chapter 7 Integrals Part 14

Part - 14 Lecture - 4 Chapter 7 Integrals

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SPECIAL CASES FOR ALL THE THREE METHODS

28. \int\frac{1}{(x^2+1)(x^2+4)}dx=\frac{1}{3}{tan}^{-1}{x}-\frac{1}{6}{tan}^{-1}{\frac{x}{2}}+C

29. \int{\frac{x^2}{(x^2+1)(x^2+4)}dx=-\frac{1}{3}{tan}^{-1}{x}+\frac{2}{3}{tan}^{-1}{\frac{x}{2}}}+C

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

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