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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 ENGLISH-JEE MAINS-All Questions
  1. If for a real number y ,[y] is the greatest integral function less, th...

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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. Find the particular solution of the differential equation (dy)/(dx)= (...

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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 the point P with slopes m(1),m(2)andm(3) to tha...

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

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  8. If f(x)=Asin((pix)/2)+b ,f^(prime)(1/2)=sqrt(2)a n d int0^1f(x)dx=(2A...

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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 tr...

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  11. int(-2)^2|"xcospix"|"dx" has the value equal to 8/pi b. 4/pi c. 2/p...

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

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

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

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

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

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  17. int(x^4+4)/(x^2-2x+2)dx

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

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  19. In a triangle ABC, medians AD and BE are drawn. If AD=4, angleDAB=(pi)...

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  20. Suppose that f(x) is differentiable invertible function f^(prime)(x)...

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