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int(-pi/3)^(pi/3) [ sin^5x+ln((1+x)/(1-...

`int_(-pi/3)^(pi/3) [ sin^5x+ln((1+x)/(1-x))+((e^x-e^(-x))/2)]dx` is

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RESONANCE DPP-JEE MAINS-All Questions
  1. Let In = int0^(npi) sinx/(1+x) dx n = 1,2,3,4. Arrange I1 , I2, I3,I4 ...

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  2. Number of triplets of a, b & c for which the system of equations, ax -...

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  3. int(-pi/3)^(pi/3) [ sin^5x+ln((1+x)/(1-x))+((e^x-e^(-x))/2)]dx is

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  4. Find the coefficient of x^(50) after simplifying and collecting the li...

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  5. If x=(1+t)/(t^3),y=3/(2t^2)+2/t ,t h e nx((dy)/(dx))^3-(dy)/(dx) is eq...

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  6. A(1, 2) and B(7, 10) are two points. If P(x) is a point such that the ...

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  7. The lines x+y-1=0,(m-1)x+(m^2-7)y-5=0, and (m-2)x+(2m-5)y=0 are concur...

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  8. The centres of two circles C1 and C2, each of unit radius are at a dis...

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  9. Consider circles C1 : x^2 +y^2 + 2x-2y + p = 0, C2 : x^2+y^2-2x+2y-p=0...

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  10. If alphaa n dbeta are the eccentric angles of the extremities of a...

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  11. The number of values of c such that the straight line y=4x+c touches t...

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  12. If f: RvecNuu{0}, where f (area of triangle joining points P(5,0),Q(8,...

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  13. Find the equations of the sides of the triangle having (3, - 1) as a v...

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  14. If [.] denotes the greatest integer less than or equal to x and (.) de...

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  15. If quadratic equation f(x)=x^(2)+ax+1=0 has two positive distinct root...

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  16. Six X's are to be placed in boxes of the figure such that each row con...

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  17. the solution of the differential equation (dy)/(dx)+(x(x^(2)+3y^(2))/(...

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  18. If tan^(-1)(x^2+3|x|-4)+cot^(-1)(4pi+sin^(-1)sin 14)=pi/2, t h e n th...

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  19. Let C1 and C2 be externally tangent circles with radius 2 and 3 respe...

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  20. Consider the system of hyperbola xy = k, k in R. Let e1 be the eccentr...

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