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

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

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CENGAGE ENGLISH-INTEGRALS-All Questions
  1. The integral int(sec^2x)/((secx+tanx)^(9/2))dx equals (for some arbitr...

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

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

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  4. Evaluate: intsqrt(secx-1)dx

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  5. Evaluate: intsqrt((3-x)/(3+x))sin^(-1)(1/6sqrt(3-x))dx

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  6. Evaluate: int((1-xsinx)dx)/(x(1-x^3e^(3cosx)))

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  7. Evaluate: If intcos^nxdotdx prove that In=1/n(cos^(n-1)xsinx)+((n-1)/n...

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  8. Evaluate: int(x^2-1)/(xsqrt((x^2+alphax+1)(x^2+betax+1)))dx

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  9. Evaluate: int(e^(tan^(-1)x))/((1+x^2))[(sec^(-1)sqrt(1+x^2)+cos^(-1)(...

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  10. int(sqrt(x-1))/(xsqrt(x+1))dxi se q u a lto ln|x-sqrt(x^2-1)|-tan^(-1...

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  11. IfI=int(dx)/((2a x+x^2)^(3/2)),then I is equal to (a)-(x+a)/(sqrt(2a ...

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  12. If f^(prime)(x)=1/(-x+sqrt(x^2+1)) and f(0)=(1+sqrt(2))/2 then f(1) ...

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  13. inte^x((2tanx)/(1+tanx)+cot^2(x+pi/4))dxi se q u a lto e^xtan(pi/4-x)...

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  14. The value of the integral int(x^2+x)(x^(-8)+2x^(-9))^(1/(10))dx is 5/(...

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  15. Ifint(dx)/((x+2)(x^2+1))=aln(1+x^2)+btan^(-1)x+1/5ln|x+2|+C Then (a) ...

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  16. If int (3sinx+2cosx)/ (3cosx+2sinx) dx=a x+b ln|2sinx+3cosx|+C, then (...

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  17. Ifint(3e^x-5e^(-x))/(4e^x+5e^(-x))dx=a x+bln(4e^x+5e^(-x))+C ,t h e n ...

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  18. intsqrt((cosx-cos^3x)/(1-cos^3x))dx is equal to (a) -2/3sin^(-1)(cos...

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  19. If l^(prime)(x) means logloglog x , the log being repeated r times, th...

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  20. int(cos4x-1)/(cotx-tanx)dx is equal to (A) 1/2ln|sec2x|-1/4cos^2 2x+...

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