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

`int(x^2-1)/(x^3sqrt(2x^4-2x^2+1))dx` is equal to (a) `(sqrt(2x^4-2x^2+1))/(x^3)+C` (b) `(sqrt(2x^4-2x^2+1))/x+C` (c) `(sqrt(2x^4-2x^2+1))/(x^2)+C` (d) `(sqrt(2x^4-2x^2+1))/(2x^2)+C`

A

`(sqrt(2x^(4)-2x^(5)+1))/(x^(2))+C`

B

`(sqrt(2x^(4)-2x^(2)+1))/(x^(3))+C`

C

`sqrt(2x^(4)+2x^(2)+1)/(x)+C`

D

`(sqrt(2x^(4)-2x^(2)+1))/(2x^(2))+C`

Text Solution

Verified by Experts

The correct Answer is:
D
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ARIHANT MATHS-INDEFINITE INTEGRAL -Exercise (Single Option Correct Type Questions)
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  4. If n is a positive integer, then find int x^n dx

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  7. The value of int x log x (log x - 1) dx is equal to

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  12. If the anti derivative of int sin^4x/x dx is f(x) then int(sin^4(p+q)...

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  13. Prove that : sin(9-theta\)=cos(81+theta)

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  14. For x^2nenpi+1, n inN(the set of natural numbers), the integral intxsq...

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  15. int(dx)/(cos(2x)cos(4x))=

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  16. int(1-7cos^(2)x)/(sin^(7)xcos^(2)x)dx=(f(x))/((sinx)^(7))+C, then f(x)...

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  17. Evaluate int(sin^(3)xdx)/((cos^(4)x+3cos^(2)x+1)tan^(-1)(secx+cosx)).

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  18. The primitive of the function f(x)= x | cos x|, when pi/2 lt x lt pi i...

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  19. The primitive of the function f(x)=(2x+1)|sin x|, when pi lt x lt 2 p...

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  20. int (cosx+sinx) dx is equal to :

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