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If In=intsin^n xdxn in N , t h e n5I4-6...

If `I_n=intsin^n xdxn in N , t h e n5I_4-6I_6` is equal to `s in x(cosx)^5+c` b. `sin2x cos2x+c` c. `(s in2x)/8(cos^2 2x+1-2cos2x)+c` d. `(s in2x)/8(cos^2 2x+1+2cos2x)+c`

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RESONANCE DPP ENGLISH-JEE MAINS-All Questions
  1. A bird is sitting on the top of a vertical pole 20 m high and its elev...

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  2. Evaluate int(-1)^(3)("tan"^(-1)x/(x^(2)+1)+"tan"^(-1)(x^(2)+1)/x)dx.

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  3. If In=intsin^n xdxn in N , t h e n5I4-6I6 is equal to s in x(cosx)^5+...

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  4. int0^pisin^3theta(1+2costheta)(1+costheta)^2dtheta is equal to 1/3 (...

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

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  7. If H is the orthocentre of a triangle ABC, then the radii of the cir...

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

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

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  10. Let (d)/(dx )F(x) =((e ^(sin x ))/(x )), x gt 0 If int(1 )^(4) (3)/(x)...

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  11. If in Delta ABC, (a -b) (s-c) = (b -c) (s-a), prove that r(1), r(2), r...

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  12. Show that int0^(pi/2)sqrt((sin2theta))sintheta d theta=pi/4

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

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  14. Let u=int0^1("ln"(x+1))/(x^2+1)dx a n d v=int0^(pi/2)ln(sin2x)dx ,t h ...

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  15. A golf ball is dropped from a height of 80 m. Each time the ball hi...

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  16. if |f(x1)-f(x2)|<=(x1-x2)^2Find the equation of tangent to the curve y...

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  17. From the point (lambda,3) tangents are drawn to x^(2)/9+y^(2)/4=1 and ...

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  18. If a curve with equation of the form y=ax^(4)+bx^(3)+cx+d has zero gra...

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

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  20. The left hand derivative of f(x)=[x]sin(pix) at x = k, k in Z, is

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