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If int(dx)/(x^2+a x+1)=f(g(x))+c , then ...

If `int(dx)/(x^2+a x+1)=f(g(x))+c ,` then `f(x)` is inverse trigonometric function for `|a|>2` `f(x)` is logarithmic function for `|a|<2` `g(x)` is quadratic function for `|a|>2` `g(x)` is rational function for `|a|<2`

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CENGAGE PUBLICATION-INTEGRALS-All Questions
  1. If int(dx)/(x^2+a x+1)=f(g(x))+c , then f(x) is inverse trigonometric ...

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  2. If f(x)=int(x^8+4)/(x^4-2x^2+2)dx and f(0)=0,t h e n (a)f(x) is an...

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  3. int dx/((x+1)(x-2)) = A log (x + 1) + B log (x - 2) + c where

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  4. Each question has four choices, a,b,c and d, out of which only one i...

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  5. If int(x^2-x+1)/((x^2+1)^(3/2))e^x dx=e^xf(x)+c, then (a) f(x) is an ...

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  6. Ifint(x^4+1)/(x^6+1)dx=tan^(-1)f(x)-2/3tan^(-1)g(x)+C ,t h e n a) bo...

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  7. If intsin^(-1)xcos^(-1)xdx=f^(-1)(x)[π/2x-xf^(-1)(x)-2sqrt(1-x^2)]+2x+...

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  8. If int(cos4x+1)/(cotx-tanx)dx = Acos4x+B ,t h e n (a)A=-1/8 (b) B=1/...

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  9. Statement 1: int(dx)/(x^3sqrt(1+x^4))=-1/2sqrt(1+1/(x^4))+C Statement...

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  10. Statement 1: int(sinxdx)/x ,(x >0), cannot be evaluated. Statement 2...

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  11. If int (4e^x + 6e^-x)/(9e^x - 4e^-x) dx = Ax + B loge(9e^(2x) - 4) + c...

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  12. int (cos^3 x + cos^5 x)/(sin^2 x + sin^4 x) dx equals

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  13. If int sin^-1 ((2x + 2)/sqrt(4x^2 + 8x + 13)) dx = (x + 1) tan^-1 ((2x...

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  14. Evaluate for m in N , int(x^(3m)+x^(2m)+x^m)(2x^(2m)+3x^m+6)^(1/m)dx...

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  15. Evaluate: int(cos^4x)/(sin^3x(sin^5x+cos^5x)^(3/5))dx

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  16. Evaluate: int sqrt(1+cosecx dx)

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  17. int (x^2 - 1)/((x^3)sqrt(2x^4- 2x^2 + 1)) dx is equal to

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  18. The integral int(sec^2x)/((secx+tanx)^(9/2))dx equals (for some arbitr...

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  19. Evaluate: int(x^3)/(sqrt(x^2+1))dx

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  20. Evaluate : int(2x)/((1-x^2)sqrt(x^4-1))dx

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