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int(-pi)^(pi) ( e^(sin x ))/( e^(sinx) +...

`int_(-pi)^(pi) ( e^(sin x ))/( e^(sinx) + e^(-sinx))dx` is equal to

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RESONANCE DPP ENGLISH-JEE MAINS-All Questions
  1. Consider lim(x->0)(a x+b e^(-x)+sinx+1)/(a x-bsinx)=l(l is finite) the...

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  2. The value f the integral int(-pi)^pisinm xsinn xdx , for m!=n(m , n in...

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  3. int(-pi)^(pi) ( e^(sin x ))/( e^(sinx) + e^(-sinx))dx is equal to

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  4. Four persons are selected at random out of 3 men, 2 women and 4 chi...

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  5. If A and B are acute positive angles satisfying the equations 3 sin^(2...

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  6. The equation of the plane through the intersection of the planes x+y+z...

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  7. The position vectors of the points Pa n dQ with respect to the orig...

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  8. If the system of linear equations {:(x+2ay+az=0),(x+3by+bz=0),(x+4cy...

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  9. Let f(x+y) = f(x). F(y) for all x and y. Suppose f(5) = 2 and f'(0) = ...

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  10. intx^(51)(tan^(- 1)x+cot^(- 1)x)dx=

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  11. General solution of differential equation x^(2)(x+y(dy)/(dx))+(x(dy)/(...

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  12. Find the length of the common chord of the circles x^2+y^2+2x+6y=0 and...

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  13. A bag contains 6 red and 5 blue balls and another bag contains 5 red ...

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  14. Given that the two curves a r g(z)=pi/6 and |z-2sqrt(3)i|=r intersect ...

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  15. The probability that a married man watches certain TV show is 0.4 and ...

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  16. A ship is fitted with three engines E1,E2 and E3. The engines function...

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  17. The coefficient of x^(301 ub the expansion of (1+x)^(500)+x(1+x)^(499)...

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  18. A function y = f(x) satisfies the differential (dy)/(dx)*sin x -y co...

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  19. The area bounded by x^2+y^2-2x=0a n dy=sinpi/2x in the upper half of t...

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  20. Find the value of a if x^3-3x+a=0 has three distinct real roots.

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