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Evaluate the following integrals: int(...

Evaluate the following integrals:
`int(x^4+1)/(x^2+1)dx`

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MODERN PUBLICATION-INTEGRALS-EXERCISE
  1. Evaluate the following integrals: int(x-1)/sqrt(x^2+1)dx

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  2. Evaluate the following integrals: int(x^2)/(sqrt(x^6-a^6))dx

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  3. Evaluate the following integrals: int(x^4+1)/(x^2+1)dx

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  4. Evaluate the following integrals: int(2^x)/(sqrt(1-4^x))dx

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  5. Evaluate the following integrals: intsqrt(e^x-1)dx

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  6. Evaluate the following integrals: int(tanx)/(secx+cosx)dx

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  7. Evaluate the following integrals: int(1)/(4sin^2 x + 5 cos^2x)dx

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  8. Evaluate the following integrals : int 1/(cos^(2)x+2sin^(2)x)dx

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  9. Evaluate the following integrals: int(dx)/(1+3sin^2x)

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  10. Evaluate the following integrals: int(dx)/(1+3sin^2x+8cos^2x)

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  11. Evaluate the following integrals: int(cosx)/(sqrt(4-sin^2x))dx

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  12. Evaluate the following integrals int sqrt((1-x)/(1+x))dx

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  13. Evaluate the following integrals int sqrt((1-x)/(1+x))dx

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  14. Evaluate the following integrals: int(sqrt((2-x)/(2+x)))dx

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  15. Evaluate the following integrals: int(sqrt((a-x)/(a+x)))dx

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  16. Evaluate the following integrals: int(sqrt((a-x)/(a+x)))dx

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  17. Evaluate the following integrals: int((sinx+cosx))/(sqrt(sin2x))dx

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  18. Prove that: int(dx)/(xsqrt(x^2-a^2))=(1)/(a) sec^-1(x/a)+c

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

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  20. Evaluate the following integrals: int xe^(x)dx

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