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Evaluate the following integrals: int e^...

Evaluate the following integrals: `int e^(2x)((1-sin2x)/(1-cos2x))dx`

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MODERN PUBLICATION-INTEGRALS-EXERCISE
  1. Evaluate the following integrals: int [sin (logx) + cos(logx)]dx

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  2. Evaluate the following integrals: int(logx)/((1+logx)^2)dx

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  3. Evaluate the following integrals: int e^(2x)((1-sin2x)/(1-cos2x))dx

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  4. Evaluate the following integrals: inte^(2x)((sin4x-2)/(1-cos4x))dx

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  5. Evaluate the following integrals: int (2+sinx)/(1+cosx)e^(x//2)dx

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  6. Evaluate the following integrals: int[(1)/(logx)-(1)/((logx)^2)]dx

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

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  8. Evaluate the following integrals: int 1/(x^(2)-9)dx

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

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  10. Evaluate the following integrals: int(1)/(9x^2-1)dx

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  11. Evaluate the following integrals: int(1)/(sqrt(a^2+b^2x^2)dx

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  12. Evaluate the following integrals: int(1)/(32-2x^2)dx

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

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

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

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  16. Evaluate the following integrals: int (x^(2))/(1-x^(6))dx

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

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  18. Evaluate the following integrals: int(1)/(9x^2+6x+5)dx

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

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  20. Evaluate the following integrals: int 1/(3x^(2)+13x-10)dx

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