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

`int(sqrt(1+x^2)-x)^n dx`

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RESONANCE DPP ENGLISH-JEE MAINS-All Questions
  1. 1)int(-pi/2)^pi sin^(-1) (sinx) dx 2)int(-pi/2)^(pi/2) (-pi/2)/(sqr...

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  2. if f(x) = lim(n->oo) 2/n^2(sum(k=1)^n kx)((3^(nx)-1)/(3^(nx)+1)) where...

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

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  4. The expression [(1+sin.(pi)/(8) + icos .(pi)/(8))/(1+ sin.(pi)/(8) - i...

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  5. if the roots of the equation z^(2) + ( p +iq) z + r + is =0 are real ...

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  6. The expression in the vector form for the point vec r1 of intersectio...

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  7. If the function f(x)=(x^2)/2+lnx+a x is always monotonically increasi...

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  8. If int0^a(dx)/(sqrt(x+a)+sqrt(x))=int0^(pi/8)(2tantheta)/(sin2theta)dt...

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  9. The area of the closed figure bounded by x=-1,x=2,a n d y={-x^2+2,xlt...

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  10. Evaluate int(0)^(pi//2)(cosx)/((1+sinx)(2+sinx))dx.

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  11. If Sn=1/(2n)+1/(sqrt(4n^2-1))+1/(sqrt(4n^2-4))++1/(sqrt(3n^2+2n-1)),n ...

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  12. The function f satisfies the functional equation 3f(x)+2f((x+59)/(x1))...

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  13. The reflection of the point vec a in the plane vec rdot vec n=q i...

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  14. Find the equation of tangent to y=int(x^(2))^(x^(3))(dt)/(sqrt(1+t^(2)...

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  15. Let f be differentiable for all x , If f(1)=-2a n df^(prime)(x)geq2 fo...

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  16. If f1(x)=x ,f2(x)=1-x ,f3(x)=1/x ,f4(x)=1/(1-x),f5(x)=x/(x-x),f5(x)=x/...

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  17. Let f(x)a n dg(x) be two continuous functions defined from RvecR , suc...

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  18. If int((x-1)dx)/(x^(2)sqrt(2x^(2)-2x+1))=sqrt(f(x))/(g(x))+C, where f(...

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  19. If vec a , vec b , vec c are unit vector, prove that | vec a- vec b|^...

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  20. Let lambda=int0^1(dx)/(1+x^3),p=(lim)(n->oo)[(prod(r=1)^n(n^3+r^3)...

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