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int(log sqrt(x))/(3x)dx is equal to...

`int(log sqrt(x))/(3x)dx` is equal to

A

`(1)/(3)(log sqrt(x))^(2)+c`

B

`(2)/(3)(log sqrt(x))^(2)+c`

C

`(2)/(3)(log x)^(2)+c`

D

`(1)/(3)(log x)^(2)+c`

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WB JEE PREVIOUS YEAR PAPER-QUESTION PAPER 2016-MULTIPLE CHOICE QUESTIONS
  1. lim(x to 1)((1+x)/(2+x))^(1/2)

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  2. If f(x)=tan^(-1)[(log((e )/(x^(2))))/(log (ex^(2)))]+tan^(-1)[(3+2 lo...

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  3. int(log sqrt(x))/(3x)dx is equal to

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  4. int 2^(x)(f'(x)+f(x)log 2)dx is equal to

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  5. int(0)^(1)log((1)/(x)-1)dx=

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  6. The value of lim(n to oo){(sqrt(n+1)+sqrt(n+2)+…+sqrt(2n-1))/(n^(3//2)...

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  7. If the solution of the differential equation x(dy)/(dx)+y=xe^(x) be, x...

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  8. The order of the differential equation of all parabolas whose axis of ...

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  9. The line y=x+lambda is tangent to the ellipse 2x^(2)+3y^(2)=1. Then la...

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  10. The area enclosed by y=sqrt(5-x^(2)) nd y=|x-1| is

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  11. Let S be the set of points whose abscissas and ordinates are natural n...

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  12. Time period T of a simple pendulum of length l is given by T = 2pi sqr...

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  13. The cosine of the angle between any two diagonals of a cube is

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  14. If x is a positive real number different from 1 such that log(a)x,log(...

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  15. If a, x are real numbers and |a|lt 1, |x|lt 1, then 1+(1+a)x+(1+a+a^(2...

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  16. If log(0.3)(x-1)lt log(0.09)(x-1), then x lies in the interval

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  17. The value of sum(n=1)^(13)(i^(n)+i^(n+1)),i=sqrt(-1) is

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  18. If z(1), z(2), z(3) are complex numbers such that |z(1)|=|z(2)|=|z(3)|...

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  19. If p, q are the roots of the equation x^(2)+px+q=0, then

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  20. The number of values of k for which the equation x^(2)-3x+k=0 has two ...

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