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Integrate the following w.r.t. x: int fr...

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

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CHETANA PUBLICATION-Indefinite Integration-Exercise
  1. Integrate the following w.r.t. x: int frac{1}{x log x(2+ log x)} dx

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  2. Integrate the following w.r.t. x: int frac{x}{(x^2 - a^2 )(x^2-b^2)} d...

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  3. Integrate the following w.r.t. x: int frac{e^x }{(1+ e^x )(2 + e^x)} d...

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  4. Integrate the following w.r.t. x: int frac{sin 2x}{(1-cos 2x)(2-cos 2x...

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  5. Integrate the following w.r.t. x: int frac{2 x^3 +3 x^2 -3}{2x^2 -x -1...

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  6. Integrate the following w.r.t. x: int frac{1- x^2}{x(1- 2x)} dx

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

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  8. Integrate the following w.r.t. x: int frac{2x+7}{(x-4)^2} dx

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  9. Integrate the following w.r.t. x: int frac{5x^2}{(x+1)(x^2+4)} dx

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

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  11. int frac {1+x+sqrt (x+x^2)}{sqrt x + sqrt (1+x)} dx = .......... A) (...

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  12. int frac{1}{x+x^5} dx = f(x) +c, then intfrac{x^4}{x+x^5} dx = ..........

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  13. int frac{log (3x)}{xlog(9x)} dx = ............. (A) log(3x) - log(9x)...

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  14. int frac{sin^mx}{cos^(m+2)x} dx=.............. A) frac{tan^(m+1)x}{m+...

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  15. int tan(sin^(-1) x) dx=........... A) (1-x^2)^(1/2) + c B) -(1-x^2)^...

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  16. int frac{x-sin x}{1-cos x} dx=........... A) x cot(x/2) + c B) -x co...

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  17. If f(x) = frac{sin^(-1)x}{sqrt (1-x^2)}, g(x)=e^(sin^(-1)x), then int ...

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  18. If int tan^3 x sec^3 x dx=(1/m) sec^m x - (1/n) sec^n x dx , then (...

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  19. intfrac{1}{cos x - cos^2 x} dx=............ (A) log(cosec x - cot x) ...

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  20. int frac{sqrt (cot x)}{sin x cos x} dx =............ A) 2sqrt cot x +...

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