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int ( 1+ x + sqrt( x+ x^(2)))/(( sqrt(x)...

`int ( 1+ x + sqrt( x+ x^(2)))/(( sqrt(x) + sqrt( 1+x))dx` is equal to

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RESONANCE DPP ENGLISH-JEE MAINS-All Questions
  1. All the values of ' a ' for which the quadratic expression a x^2+(a-2)...

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  2. If If {:(" ""x"),(y=""),(" ""x"),(" ""a+")...

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

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  4. If we reduce 3x+3y+7=0 to the form xcosalpha+ysinalpha=p , then find t...

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  5. "If "xsqrt(1+y)+ysqrt(1+x)=0," prove that "(dy)/(dx)=-(1)/((x+1)^(2)).

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  6. Harmonic conjugate of the point (5, 13) with respect to (2,-5) and (3,...

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  7. If a x^2+2h x y+b y^2=0, then (dy)/(dx) is equal to y/x (b) x/y (c) ...

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  8. If the pair of lines ax^2+2hxy+by^2+2gx+2fy+c=0 intersect on Y-axis , ...

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  9. If d/dx\ ((1+x^2+x^4)/(1+x+x^2)) = ax+b, then (a, b) =

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  10. For the equation, 3x^2+p x+3=0,p >0, if one of the roots is square of...

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  11. Let e^(f(x))=lnxdot If g(x) is the inverse function of f(x), then g...

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  12. Among (i) underset(xtooo)limsec^(-1)((x)/(sinx))" and "(ii) underset(x...

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  13. If f(x)=2ln(x-2)-x^2+4x+1, then find the solution set of the inequalit...

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  14. If graph of y= f(x) is as shown in figure, then which of the following...

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  15. If f(x)=(log)x(log x),t h e nf^(prime)(x) at x=e is equal to (a) 1/e ...

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  16. Sum of all the solutions of the equation : tan^2 33x = cos2x - 1 which...

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  17. Let y=x^(3)-8x+7 and x=f(t)." If "(dy)/(dt)=2 and x=3 at t = 0," then ...

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  18. The graphs of y= sin x ,y=cos x , y=t a n x& y=cos e c x drawn on the ...

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  19. The values of lambda for which the function f(x)=lambdax^3-2lambdax^2...

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  20. Number of solutions of the equation, [y+[y]]=2cosx is: (where y=1//3)[...

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