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Evaluate the following integrals: int(d...

Evaluate the following integrals:
`int(dx)/(x^(2)+6x+11)`

Text Solution

Verified by Experts

The correct Answer is:
`1/(sqrt(2))tan^(-1)((x+3)/(sqrt(3)))|C`
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BETTER CHOICE PUBLICATION-INTEGRALS-ASSIGNMENT (SECTION V MOST IMPORTANT QUESTIONS FOR PRACTICE)
  1. Evaluate the following integrals: int(dx)/(x^(2)+6x+11)

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  2. Evaluate the following integrals: int secx(secx+tanx)dx

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  3. Evaluate the following integrals: int ((sec^2x)dx)/(cosec^2x)

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

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  5. Evaluate the following integrals: int (xlog2x)dx

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

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

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

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

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

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

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  12. Evaluate the following integrals: int (dx)/(sqrt(10-8x-2x^(2)))

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  13. Evaluate the following integrals: int (dx)/(sqrt(x)sqrt(5-x))

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

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

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  16. Evaluate the following integrals: int (cosx)/(sqrt(sin^(2)x-2sinx-3))...

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  17. Evaluate the following integrals: int (x+2)/(sqrt((x-2)(x-3)))dx

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  18. Evaluate the following integrals: int (5x+3)/(sqrt(x^(2)+4x+10))dx

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  19. Evaluate the following integrals: int (3x+5)/(sqrt(x^(2)-8x+7))

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

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