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If f'(x)=(1)/(-x+sqrt(x^(2)+1))andf(0)=(...

If `f'(x)=(1)/(-x+sqrt(x^(2)+1))andf(0)=(-(1+sqrt2))/(2)`, then the value of f(5) will be

A

more than 12

B

less than 5

C

more than 5

D

none of these

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FIITJEE-INDEFINTE INTEGRAL-SOLVED PROBLEMS (OBJECTIVE)
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  6. int(dx)/(xsqrt(1-x^(3)))dx=

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  9. If intsqrt(cosecx+1)dx,kfog(x)+c, where k is a real constant, then

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  10. If f'(x)=(1)/(-x+sqrt(x^(2)+1))andf(0)=(-(1+sqrt2))/(2), then the valu...

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  12. I=int (dx)/(""^(4)sqrt( (x-1) ^(3) (x+2)^(5)))=k ""^(4)sqrt((x-1)/(x+2...

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  13. For integral int f(x- a/x)*(1+a/x^(2))dx, put x-a/x=t For integral i...

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  14. Evaluate: int(x-1)/((x+1)sqrt(x^3+x^2+x))\ dx

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  15. Statement -1 : Integral of an even function is not always on odd funct...

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  18. If the primitive of the function f(x)=(x^(2009))/((1+x^(2))^(1006)) w....

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  19. If the antiderivative of (x^(3))/(sqrt((1+2x^(2)))) which passes throu...

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  20. Match the following:

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