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If (d)/(dx)f(x)=cos x +sin x and f(0)=2,...

If `(d)/(dx)f(x)=cos x +sin x and f(0)=2`, then `f(x)=.....

A

`x sin x`

B

`- cos x +sinx +3`

C

`x sin x+2`

D

`x cos x+2`

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[f(x)g''(x)-f''(x)g(x)]dx=....

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

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  3. If (d)/(dx)f(x)=cos x +sin x and f(0)=2, then f(x)=.....

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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