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

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

A

`cos^(-1)(x-1)+c`

B

`sin^(-1)(x-1)+c`

C

`cos^(-1)(1+x)+c`

D

`sin^(-1)(1-x)+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 by partial fraction : int (x)/(x^(4)-1)dx=...

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

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

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

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

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

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

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

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

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

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

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

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  13. Integration by partial fraction : If int (2x^(2)+3*dx)/((x^(2)-1)(x^...

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

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  15. Integration by partial fraction : int(4e^(x)+6e^(-x))/(9e^(x)-4e^(-x...

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  16. Integration by partial fraction : int (x^(2))/((x sinx+cosx)^(2))dx=...

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  17. Integration by partial fraction : int(dx)/(sinx-cosx+sqrt(2))=....+c

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  18. Integration by partial fraction : int(dx)/(4 sin^(2)x+5cos^(2)x)dx=....

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  19. Integration by partial fraction : int(adx)/(b+ce^(x))=....+c

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  20. Integration by partial fraction : int(5x^(4)+4x^(5))/((x^(5)+x+1)^(2...

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