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If the value of the integral int1^2e^(x^...

If the value of the integral `int_1^2e^(x^2)dx` is `alpha`, then the value of `int_e^(e^4)sqrt(lnx)dx` is:

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RESONANCE DPP-JEE MAINS-All Questions
  1. If for all real numbers y ,[y] is the greatest integer less than or e...

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

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  3. If the value of the integral int1^2e^(x^2)dx is alpha, then the value ...

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  4. The solution of the differential equation (dy)/(dx) = (x(2 log x...

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  5. If int(2x+3)/(x^2-5x+6)dx=9ln|x-3|-7ln|x-2|+A ,t h e nA is 5ln(x-2)+...

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  6. Normals are drawn from a point P with slopes m1,m2 and m3 are drawn fr...

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  7. Evaluate: int(x+1)/(x(1+xe^x)^2)dx

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  8. If f(x)=A s in((pix)/2)+B ,f^(prime)sqrt(2)a n dint0^1f(x)dx=(2A)/pi, ...

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  9. If variance of variables a ,2a ,2a ,3a ,3a ,3a ,dot,10 a is 54 then va...

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  10. The point P on the ellipse 4x^2+9y^2=36 is such that the are of the P...

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  11. Evaluate: int((x+1)e^x)/(cos^2(x e^x))dx

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  12. G i v e nint0^(pi/2)(dx)/(1+sinx+cosx)=log2. Then the value of inte...

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  13. The eccentricity of an ellipse whose centre is at the origin is 1/2...

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  14. Evaluate the following integrals: (1-35) int(-2)^2(3x^3+2|x|+1)/(x^...

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  15. The general solution of differential equation (e^x + 1)ydy = (y + 1)e^...

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  16. int(x^4+4)/(x^2-2x+2)dx (A) (x^3)/2+x^2+2x+c (B) (x^3)/3+x^2+2x+c ...

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  17. The solution of (dy)/(dx)+sqrt((1-y^2)/(1-x^2))=0 is (A) tan^-1 ...

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  18. In a A B C ,A=(2pi)/3,b-c=3sqrt(3)c m and area ( A B C)=(9sqrt(3))/2c...

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  19. In a DeltaABC, medians AD and BE are drawn. If AD = 4, /DAB = pi/6 a...

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  20. If the difference between mean and m0de is 63, the difference between ...

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