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If d/(dx)[f(x)]=4x^3-3/x^4 solve that f(...

If `d/(dx)[f(x)]=4x^3-3/x^4` solve that `f(2)=0` then find f(x)

A

`x^4+1/x^3-129/8`

B

`x^3+1/x^4+129/8`

C

`x^4+1/x^3+129/8`

D

`x^3+1/x^4-129/8`

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A
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MODERN PUBLICATION-INTEGRALS-MULTIPLE CHOICE QUESTION
  1. The antiderivative of (sqrtx+1/sqrtx) equals:

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  2. If d/(dx)[f(x)]=4x^3-3/x^4 solve that f(2)=0 then find f(x)

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  3. int(10 x^9+10 x^x(log)(e^(10))dx)/(x^(10)+10^x)equals(A) 10^x-x^(10)+C...

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  4. int dx/(sin^2 x cos^2 x) equals

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  5. int (sin^2x-cos^2x)/(sin^2x cos^2 x) dx is equal to:

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  6. int(e^(x)(1+x))/(cos^(2)(e^(x)x))dx equal to

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  7. int(dx)/(x^2+2x+2)equals(A) xtan^(-1)(x+1)+C (B) tan^(-1)(x+1)+C(C) (...

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  8. int(dx)/(sqrt(9x-4x^2))equals(A) 1/9sin^(-1)((9x-8)/8)+C (B) 1/2sin^(...

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  9. int(x dx)/((x-1)(x-2)equal(A) log|((x-1)^2)/(x-2)|+C (B) log|((x-2)^2...

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  10. int(dx)/(x(x^2+1)equal(A) log|x|-1/2log(x^2+1)+C (B) log|x|+1/2log(x^...

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  11. Choose the correct answer intx^2e^x^3dx equals (A) 1/3e^x^3+C (B) ...

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  12. inte^(x)secx(1+tanx)dx=?

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  13. Choose the correct answer intsqrt(a+x^2)dx is equal to (A) x/2sqrt(...

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  14. int sqrt(x^2-8x+7) is equal to

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  15. int1^(sqrt(3))1/(1+x^2)dx is equal to pi/(12) b. pi/4 c. pi/6 d. pi/3

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  16. int0^(2//3) (dx)/(4x+9x^2) equals:

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  17. The value of the integral overset(1)underset(1//3)int((x-x^(3))^(1//...

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  18. If f(x) = int (0)^(x) t sin t d t, then f'(x) is

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  19. The value of int(-pi//2)^(pi//2) \ (x^3 + x cos x + tan^5 x + 1)dx is ...

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  20. The value of int0^(pi//2) log ((4+3 sin x)/(4+3 cos x)) dx is:

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