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Evaluate the following: int (frac {x}{1-...

Evaluate the following: `int` `(frac {x}{1-cos x}) ` dx

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CHETANA PUBLICATION-Indefinite Integration-Exercise
  1. Evaluate the following: int x^2 e^(3x) dx

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  2. Evaluate the following: int (frac {x+sinx}{1-cos x}) dx

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

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  4. Evaluate the following: int (frac {x}{1+cos 2x}) dx

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  5. Evaluate the following: int (frac {x}{1- sin 2x}) dx

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  6. Evaluate the following: int log (x + sqrt (x^2 +a^2)) dx

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  7. Evaluate the following: int cos^(-1) sqrt x dx

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  8. Find the nth derivative of the following: y= e^(ax) cos(bx+c)

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  9. Evaluate the following: int cosec^(3)x dx

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

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  11. Evaluate the following: int frac {sqrt (x^2 +1)}{x^4} [ log (x^2 +1) -...

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  12. Integrate the following w.r.t. x: int sqrt (4- 9 x^2) dx

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  13. Integrate the following w.r.t. x: int sqrt (4 x^2 +5) dx

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  14. Integrate the following w.r.t. x: int sqrt (4+ 3x - 2 x^2) dx

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  15. Integrate the following w.r.t. x: int sqrt ( x^2 -4x -5) dx

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  16. Integrate the following w.r.t. x: int sqrt (2ax - x^2) dx

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  17. Integrate the following w.r.t. x: int e^x sqrt (e^(2x)+1) dx

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  18. Integrate the following w.r.t. x: int frac {sqrt (1+(log x)^2)}{x} dx

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  19. Integrate the following w.r.t. x: int frac {sqrt ((log x)^2 + 3log x ...

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  20. Integrate the following w.r.t. x: int (x-5) sqrt ( x^2 - 1) dx

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