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Evaluate: for m in N , intx^(3m)+x^(2n...

Evaluate: for `m in N ,` `intx^(3m)+x^(2n)+x^m)(2x^(2m)+3x^m+6)^(1/m)dx ,x >0`

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CENGAGE ENGLISH-INTEGRALS-All Questions
  1. The value of the integral int(cos^3x+cos^5x)/(sin^2x+sin^4x)dxi s si...

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  2. Evaluate: intsin^(-1)((2x+2)/(sqrt(4x^2+8x+13)))dx

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  3. Evaluate: for m in N , intx^(3m)+x^(2n)+x^m)(2x^(2m)+3x^m+6)^(1/m)dx...

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

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  5. Evaluate: int sqrt(1+cosec x) dx ,(0 < x < pi/2)

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

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

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

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

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  10. Evaluate: intsqrt(secx-1)dx

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

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

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

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

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

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

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

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

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