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Evaluate the following: int frac{1}{1+ 3...

Evaluate the following: `int` `frac{1}{1+ 3 sin^2 x}` dx

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CHETANA PUBLICATION-Indefinite Integration-Exercise
  1. Evaluate the following: int frac{sec^2 x}{2tan^2x + 3 tan x +3} dx

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

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  3. Evaluate the following: int frac{1}{1+ 3 sin^2 x} dx

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

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  5. Evaluate the following: int frac{cos theta }{cos 3 theta} dtheta

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  6. Evaluate the following: int frac{1}{cos alpha + cos x} dx

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  7. Evaluate the following: int frac{1}{1+ cos alpha cos x } dx

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

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  9. Evaluate the following: int frac{1}{(sqrt (a^2 +x^2))^3) dx

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  10. Evaluate the following: int frac{sqrt (a^2 +x^2)}{x^2} dx

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  11. Evaluate the following: int frac{1}{(a^2 -x^2)^(3/2)} dx

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

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

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  14. Evaluate the following: int cos [ 2 cot^(-1) sqrt (frac{1-x}{1+x})] d...

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

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  16. Evaluate the following: intfrac{x}{sqrt(8+x-x^2)}dx

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  17. Evaluate the following: intsqrt (frac{x-5}{x-7})dx

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  18. Evaluate the following: int x log x dx

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  19. Evaluate the following: int x cot^2x dx

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  20. Evaluate the following: int x^2 e^(3x) dx

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