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Integration by partial fraction : int(...

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

A

`log(x-3)-log(x-2)+c`

B

`log(x-3)^(2)-log(x-2)+c`

C

`log(x-3)+log(x-2)+c`

D

`log(x-3)^(2)+log(x-2)+c`

Text Solution

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The correct Answer is:
B
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KUMAR PRAKASHAN-INTEGRALS -MULTIPLE CHOICE QUESTIONS(MCQS)
  1. Integration of some particular functions : int(x+2)/(x^(2)+4x-7)dx=...

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

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

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

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

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

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

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

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

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

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

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

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

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

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  15. Integration by partial fraction : int(dx)/(x^(2)+4x+13)=...

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  16. Integration by partial fraction : int(3sinx+2 cosx)/(3 cosx+ 2 sinx)...

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  17. Integration by partial fraction : int(dx)/(x[(logx)^(2)+4log(x)-1)])...

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  18. Integration by partial fraction : int(dx)/(x(x^(n)+1))=....

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  19. Integration by partial fraction : int(x^(2)+1)/(x^(4)+1)dx=.....

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  20. Integration by partial fraction : int(x^(2)-1)/(x^(4)+x^(2)+1)dx=...

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