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The value of int(dx)/(2sqrt(x)(x+1)) i...

The value of `int(dx)/(2sqrt(x)(x+1))` is -

A

`(1)/(2) tan^(-1)(sqrt(x))+c`

B

`2tan^(-1) (sqrt(x))+c`

C

`tan^(-1) (sqrt(x))+c`

D

`tan^(-1)(2sqrt(x))+c`

Text Solution

Verified by Experts

The correct Answer is:
C
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CHHAYA PUBLICATION-MCQ ZONE -Question Paper 4
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  14. The solution of the differential equation (x+2y^(3))(dy)/(dx)=y is -

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  15. The integrating factor of linear differential equation (dy)/(dx)+y tan...

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  16. The order and degree of the differential equation representing the fam...

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  17. The solution of the differential equation (dy)/(dx)=(1+y^(2))/(1+x^(2)...

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  18. The degree of the differential equation (dy)/(dx)-x=(y - x(dy)/(dx))^(...

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  19. The solution of the equation (dy)/(dx)=sqrt(1-x^(2)-y^(2)+x^(2)y^(2))...

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  20. The solution of the equation (dy)/(dx)=(xlogx^(2)+x)/(sin y+y cosy) is...

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