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Evaluate the following: int frac{1}{sqrt...

Evaluate the following: `int` `frac{1}{sqrt ((x-a)(x-b))}` dx

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CHETANA PUBLICATION-Indefinite Integration-Exercise
  1. Evaluate the following: int frac{1}{sqrt (21 + 4x -x^2)} dx

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  2. Evaluate the following: int frac{1}{sqrt (15 + 4x - 4x^2)} dx

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  3. Evaluate the following: int frac{1}{sqrt ((x-a)(x-b))} dx

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  4. Evaluate the following: int frac{x}{4 x^4 - 2 x^2 - 3} dx

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  5. Evaluate the following: int frac{x}{x^4 +x^2 +1} dx

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  6. Evaluate the following: int frac{x^3}{16x^8-25} dx

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  7. Evaluate the following: int frac{1}{a^2 e^x+ b^2 e^(-x)} dx

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  8. Evaluate the following: int frac{1}{e^(3x)+ e^(-3x)} dx

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  9. Evaluate the following: int frac{sin x}{1+cos^2x} dx

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  10. Evaluate the following: intdx/(x{6(logx)^2+7logx+2})

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  11. Evaluate the following: intcosx/(3sin^2x -4 sin x +1)dx

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  12. Evaluate the following: intsec^2x/(2tan^2x+7tanx+13)dx

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  13. Evaluate the following: int frac{sec x. tan x}{9- 16 tan^2x} dx

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  14. Evaluate the following: int frac{x^2}{sqrt (x^6 +2 x^3 +3)} dx

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  15. Evaluate the following: int frac{1}{x^(2/3) sqrt (x^(2/3)- 4)} dx

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  16. Evaluate the following: int sqrtfrac{x}{a^(3) - x^(3)} dx

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  17. Evaluate the following: int frac{e^x}{sqrt (5- 4 e^x+ e^(2x))} dx

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  18. Evaluate the following: int frac{a^x}{sqrt (1- a^(2x))} dx

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  19. Evaluate the following: int frac{e^frac{3x}{2}}{sqrt (a^2 e^x+ b^2 e^(...

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  20. Evaluate the following: int frac{1}{sqrt ((1-x^2)(9+(sin^(-1) x)^2))} ...

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