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int(x^(9))/((4x^(2)+ 1)^(6))dx is equal ...

`int(x^(9))/((4x^(2)+ 1)^(6))dx` is equal to

A

`frac{1}{5x}(4+frac{1}{x^2})^(-5)+c`

B

`frac{1}{5}(4+frac{1}{x^2})^(-5)+c`

C

`frac{1}{10}(frac{1}{x^2}+4)^(-5)+c`

D

None of these

Text Solution

Verified by Experts

The correct Answer is:
C
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VMC MODULES ENGLISH-INTEGRAL CALCULUS-1-JEE ADVANCED (ARCHIVE)
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  2. The integral int(sec^2x)/((secx+tanx)^(9/2))dx equals (for some arbitr...

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  3. If I=int(e^x)/(e^(4x)+e^(2x)+1) dx. J=int(e^(-x))/(e^(-4x)+e^(-2x)+1) ...

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  4. Let f(x)=(x)/((1+x^(n))^(1//n)) for n ge 2 and g(x)=underset("n times"...

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  5. int (x^2 -1 )/ (x^3 sqrt(2x^4 - 2x^2 +1))dx is equal to

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  6. int(4e^x+6e^(-x))/(9e^x-4e^(-x))dx=A x+Blog(9e^(2x)-4)+C ,t h e n A= ...

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  7. For any natural m, evaluate int(x^(3m)+x^(2m)+x^(m))(2x^(2m)+3x^(m)+...

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  8. Evaluate: intsqrt((1-sqrt(x))/(1+sqrt(x)))dx

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  9. Evaluate int ((1 - x)/(1 + x)) dx

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  10. Evaluate : int(x^2)/(sqrt(1-x^2))dx

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  11. Evaluate: int(x^2)/((a+b x)^2)\ dx

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  12. int sin x .sin2x.sin3x dx

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  13. Evaluate : int (x)/(1+x^(4)) "dx "

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  14. Evaluate: int1/(1-cotx)dx

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  15. Evaluate: intsqrt(a^2-x^2)\ dx

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  16. Evaluate: int(sqrt(tanx)+sqrt(cotx))dx

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  17. The value of int (sqrt(cos 2x))/(sin x) dx, is equal to

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  18. If f(x) is the integral of (2 sin x-sin 2 x)/(x^(3)), "where x" ne 0, ...

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  19. Evaluate: intsin^(-1)((2x+2)/(sqrt(4x^2+8x+13)))dx

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  20. Evaluate: intcos2thetaln((costheta+sintheta)/(costheta-sin theta))d th...

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  21. Evaluate: int(sin^(-1)sqrt(x)-cos^(-1)sqrt(x))/(sin^(-1)sqrt(x)+cos^(-...

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