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Method of integration by parts : inte^...

Method of integration by parts :
`inte^(x)[tanx-log(cosx)]dx=.....`

A

`e^(x)log(secx)+c`

B

`e^(x)log("cosec"x)+c`

C

`e^(x)log(secx)+c`

D

`e^(x)log(sinx)+c`

Text Solution

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The correct Answer is:
A
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KUMAR PRAKASHAN-INTEGRALS -MULTIPLE CHOICE QUESTIONS(MCQS)
  1. If (d)/(dx)f(x)=cos x +sin x and f(0)=2, then f(x)=.....

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  2. Method of integration by parts : int cos^(-1)((1)/(x))dx.....

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  3. Method of integration by parts : inte^(x)[tanx-log(cosx)]dx=.....

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  4. Method of integration by parts : inte^(2x) (1+sin 2x)/(1+cos 2x)dx=....

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  5. Method of integration by parts : int e^(x)((x^(2)+1))/((x+1)^(2))dx=...

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  6. Method of integration by parts : int(x-sinx )/(1-cosx)dx=....

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  7. Method of integration by parts : If int(e^(x)(1+sinx)dx)/(1+cosx)=e^...

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  8. Method of integration by parts : int sqrt(xe)^(sqrt(x))dx=....

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  9. Method of integration by parts : int (x tan^(-1)x)/((1+x^(2))^((3)/(...

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  10. Method of integration by parts : I(1)=int sin^(-1)x dx and I(2)= int...

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  11. Method of integration by parts : The anti derivative of f(x) and e^(...

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  12. Method of integration by parts : int(cos^(-1)x+cos^(-1)sqrt(1-x^(2))...

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  13. Method of integration by parts : If int(xe^(x))/(sqrt(1+e^(x)))dx=f(...

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  14. Method of integration by parts : intsin^(5)xdx=-(sin^(4)xcosx)/(5)+A...

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  15. Method of integration by parts : If intf(x)dx=phi(x) then intx^(5)f(...

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  16. Method of integration by parts : inte^(3x)cos 4xdx=e^(3x)(A sin 4x+B...

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  17. Method of integration by parts : inte^(2x)*x^(4)dx=(e^(2x))/(2)f(x)+...

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  18. Method of integration by parts : If int(n)=int(sinx)^(n)dx, x in N t...

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  19. Method of integration by parts : If I(n)=int cot^(n)x dx then I(0)+I...

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  20. Method of integration by parts : If u=inte^(ax)cos bx dx and v= int ...

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