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Method of integration by parts : The a...

Method of integration by parts :
The anti derivative of f(x) and `e^(x)` and the anti derivative of g(x) is `cosx`, then, `intf(x)cosxdx+intg(x)e^(x)dx=............`

A

`f(x)g(x)+c`

B

`f(x)+g(x)+c`

C

`e^(x)cosx+c`

D

`f(x)-g(x)+c`

Text Solution

Verified by Experts

The correct Answer is:
C
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KUMAR PRAKASHAN-INTEGRALS -MULTIPLE CHOICE QUESTIONS(MCQS)
  1. Method of integration by parts : int (x tan^(-1)x)/((1+x^(2))^((3)/(...

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

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

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

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

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

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

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

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

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

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

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

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

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  14. Method of integration by parts : int cos(logx)dx=....+c

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  15. Method of integration by parts : inte^(x)sin x cos x dx=...+c

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  16. Integrate the following functions : (5+logx)/((6+logx)^(2))

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  17. int(e^(tan^-1(x)))/(1+x^(2))(1+x+x^(2))dx=...+c

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  18. Integrate the functions e^(x)((1+sinx)/(1+cosx))

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  19. Integrate the following functions : e^(x)((1+xlogx)/(x))

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  20. int(logx+(1)/(x^(2)))e^(x)dx=..........+c

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