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I(1)=int(0)^((pi)/2)In (sinx)dx, I(2)=in...

`I_(1)=int_(0)^((pi)/2)In (sinx)dx, I_(2)=int_(-pi//4)^(pi//4)In(sinx+cosx)dx`. Then

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RESONANCE DPP-JEE MAINS-All Questions
  1. If AD, BE and CF are the medians of a DeltaA B C ,t h e n(A D^2+B E^2+...

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  2. The value of int(-(pi/4)^(1/3))^((pi/4)^(1/3))(x^2)/((1+sin^2x^3)(1+e...

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  3. I(1)=int(0)^((pi)/2)In (sinx)dx, I(2)=int(-pi//4)^(pi//4)In(sinx+cosx)...

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  4. Find the coordinates of a point on the parabola y=x^2+7x+2 which is cl...

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  5. Let d/(dx)F(x)=((e^(sinx))/x),x > 0. If int1^4 3/x e^sin (x^3)dx...

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  6. In a triangle ABC if (s-a)/(a-b)=(s-c)/(b-c) then r1,r2,r3 are in AP

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  7. Show that int0^(pi/2)sqrt((sin2theta))sinthetadtheta=pi/4

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  8. If in triangle ABC (r)/(r(1))=(1)/(2), then the value of tan(A/2)(tan(...

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  9. Let u=int0^1("ln"(x+1))/(x^2+1)dxa n dv=int0^(pi/2)ln(sin2x)dx ,t h e ...

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  10. A golf ball is dropped form a height of 80 m. Each time the ball hit...

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  11. If |f(x1)-f(x2)|lt=(x1-x2)^2, for all x1, x2 in R , then the equati...

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  12. If the tangents from the point (lambda, 3) to the ellipse x^2/9+y^2/4=...

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  13. A curve with equation of the form y=a x^4+b x^3+c x+d has zero gradie...

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  14. A tangent is drawn to the ellipse (x^2)/(27)+y^2=1 at (3sqrt(3)costhe...

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  15. The left hand derivative of f(x)=[x]sin(pix) at x = k, k is an intege...

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  16. The locus of the point of intersection of the tangents at the extre...

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  17. Find the possible values of a such that f(x)=e^(2x)-(a+1)e^x+2x is mon...

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  18. Prove that, the normal to y^(2) = 12x at (3,6) meets the parabola agai...

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  19. The two curves x=y^2a n dx y=a^3 cut orthogonally, then a^2 is equal...

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  20. Number of normals drawn from the point (-2,2) to the parabola y^2-2y-2...

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