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Evaluate the following integrals: int 1/...

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

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The correct Answer is:
`1/6log|(x-3)/(x+3)|+C`
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BETTER CHOICE PUBLICATION-INTEGRALS-ASSIGNMENT (SECTION VIII MOST IMPORTANT QUESTIONS FOR PRACTICE)
  1. Evaluate the following integrals: int 1/(x^(2)-9)dx

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

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

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  4. Evaluate the following integrals: int (dx)/(x^(2)-5x+6)dx

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  5. Evaluate the following integrals: int (2x-1)/((x-1)(x+2)(x-3))

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

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

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  8. Evaluate the following integrals: int (12x^(2)-2x-9)/((4x^(2)-1)(x+3))...

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

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

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

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  12. Evaluate the following integrals: int (sinx)/((1-cosx)(2-cosx))dx

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  13. Evaluate the following integrals: int (sin2x)/((1+sinx)(2-sinx))dx

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  14. Evaluate the following integrals: int 1/(sinx-sin2x)dx

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

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  16. Evaluate the following integrals: int (x^(2)+1)/((x^(2)+4)(x^(2)+25))d...

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

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  18. Evaluate the following integrals: int 1/(x(x^(3)+8))dx

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

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  20. Evaluate the following integrals: int 1/(e^(x)-1)dx

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