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Integration of some particular functions...

Integration of some particular functions :
`int(dx)/(sqrt(x^(2)-2x+3))=...+c`

A

`(1)/(2)tan^(-1)((x-1)/(2))`

B

`tan^(-1)((x-1)/(2))`

C

`log|x-1+sqrt(x^(2)-2x+3)|+c`

D

`log|x-1-sqrt(x^(2)-2x+3)|+c`

Text Solution

Verified by Experts

The correct Answer is:
C
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KUMAR PRAKASHAN-INTEGRALS -MULTIPLE CHOICE QUESTIONS(MCQS)
  1. Integration of some particular functions : int(dx)/(sqrt(25+9x^(2))...

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  2. Integration of some particular functions : int(dx)/(sqrt(x^(2)-6x+9)...

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  3. Integration of some particular functions : int(dx)/(sqrt(x^(2)-2x+3...

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  4. Integration of some particular functions : int(x^(4)+3x^(2)+1)/(x^(...

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  5. Integration of some particular functions : int(dx)/(sqrt(21+12x-9x^...

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  6. Integration of some particular functions : int(2x)/(sqrt(x^(2)-2x+7...

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  7. Integration of some particular functions : int(1)/(3t^(2)+4)dt=A ta...

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  8. Integration of some particular functions : int(x+2)/(x^(2)+4x-7)dx=...

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  9. Integration of some particular functions : int(2x+3)/(3x^(2)+4x+5)d...

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  10. Integration by partial fraction : int(x-1)/((x-3)(x-2))dx=....

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  11. Integration by partial fraction : The value of int(x)/((x-2)(x-1))dx...

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  12. Integration by partial fraction : int(x^(2)+x-1)/(x^(2)+x-6)dx=....

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  13. Integration by partial fraction : int(x^(2))/((x^(2)+2)(x^(2)+3))dx=...

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  14. Integration by partial fraction : If int sin5x cos 3x dx=-(cos8x)/(1...

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  15. Integration by partial fraction : int(dx)/(e^(x)+1-2e^(-x))=....

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  16. Integration by partial fraction : int (x)/(x^(4)-1)dx=...

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  17. Integration by partial fraction : int sin^(5)x cos^(4)x dx=...

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  18. int(dx)/(sqrt(2x-x^(2)))=....

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  19. int(x^(2))/((x^(2)+a^(2))(x^(2)+b^(2)))dx

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  20. int(1)/(1+cos^(2)x)dx=.....

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