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int(x-1)/((x+1)^(3))e^(x)dx=.......+c...

`int(x-1)/((x+1)^(3))e^(x)dx=.......+c`

A

`(e^(x))/((x+1)^(2))`

B

`(-e^(x))/((x+1)^(2))`

C

`(e^(x))/((x+1)^(3))`

D

`(-e^(x))/((x+1)^(3))`

Text Solution

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The correct Answer is:
A
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KUMAR PRAKASHAN-INTEGRALS -MULTIPLE CHOICE QUESTIONS(MCQS)
  1. inte^(x)(cotx-cot^(2)x)dx=.......+c

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  2. int(e^(x))/(x+1)[1+(x+1)log(x+1)]dx=......+c

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  3. int(x-1)/((x+1)^(3))e^(x)dx=.......+c

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  4. If intx.e^(2x)dx=e^(2x)f(x)+c where c is arbitary constant then f(x)=…...

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  5. inte^(3x)cos4xdx=.........+c

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  6. inte^(4x)sin3xdx=......+c

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  7. inte^(x/sqrt2)cos((x)/(sqrt2))dx=......+c

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  8. intx.tan^(-1)xdx=......+c

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  9. inte^(2x)(log2x+(1)/(2x))dx=..........+c

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  10. intx^(3).e^(x^(2))dx=..........+c

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  11. Some standard forms of integration : intx^(2)sqrt(x^(6)-1)dx=.........

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  12. Some standard forms of integration : intsqrt(x^(2)-4x+2)dx=............

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  13. Some standard forms of integration : intsqrt(1-4x-x^(2))dx=.......+c

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  14. Some standard forms of integration : intsqrt(3-x^(2))dx=...............

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  15. Some standard forms of integration : intsinxsqrt(4-cos^(2)x)dx=........

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  16. Some standard forms of integration : intsqrt(x^(2)+7)dx=..........+C

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  17. Definite integration as the limit of a sum : lim(ntooo)sum(r=1)^(n)(...

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  18. Definite integration as the limit of a sum : lim(ntooo)(1^(p)+2^(p)+...

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  19. Definite integration as the limit of a sum : lim(ntooo)sum(r=1)^(4n)...

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  20. Definite integration as the limit of a sum : lim(ntooo)sum(k=0)^(n)(...

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