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int(-1/(sqrt(3)))^(1/(sqrt(3)))(cos^(-1)...

`int_(-1/(sqrt(3)))^(1/(sqrt(3)))(cos^(-1)((2x)/(x^2+1))+tan^(-1)((2x)/(1-x^2)))/(e^x+1)dxi se q u a lto` `int_(-pi/6)^(pi/6)(sec^2x)/(e^(tanx+1))dx` (b) `int_0^(pi/6)sec^2xdx` `pi/2int_(-pi/6)^(pi/6)(sec^2xdx)/(e^(tanx)+1)` (d) `pi/(2sqrt(3))`

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RESONANCE DPP ENGLISH-JEE MAINS-All Questions
  1. If vec d= vec axx vec b+ vec bxx vec c+ vec cxx vec a is non-zero vec...

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  2. Let u=int(0)^(1)(ln(x+1))/(x^(2)+1)dx and v=int(0)^(pi//2)ln (sin 2x)d...

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  3. int(-1/(sqrt(3)))^(1/(sqrt(3)))(cos^(-1)((2x)/(x^2+1))+tan^(-1)((2x)/(...

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  4. Find the integral value of n for which ("lim")(xvec0)(cos^2x-cosx-e^x...

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  5. If y=cos^(-1)sqrt((sqrt(1+x^2+1))/(2sqrt(1+x^2))),t h e n(dy)/(dx)i s...

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  6. If vec a= hat i+ hat j+ hat k , vec b=4 hat i+3 hat j+4 hat k and ve...

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  7. 1)int(-pi/2)^pi sin^(-1) (sinx) dx 2)int(-pi/2)^(pi/2) (-pi/2)/(sqr...

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

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

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

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

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

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

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

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

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

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

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

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