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Find `int_0^(pi/2) logtanxdx`

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The value of int_0^(pi/2)log(tanx)dx is

Evaluate the following: int_0^(pi/3)[tanx]dx

Evaluate : int_0^(pi/4)log(1+tanx)dx .

Evaluate: int_0^(pi/2)logsinxdx

Find the value of int_(0)^(pi//2)sin2xlogtanxdx .

Find I=int_0^pi ln(1+cosx)dx

If int_0^(pi/2)logsinthetad(theta)=k , then find the value of int_0^(pi/2)(theta/(sintheta))^2d(theta) in terms of k

If I_I=int_0^(pi//2)cos(sinx)dx ,I_2=int_0^(pi/2)sin(cosx)dx \ ,a n d \ I_3=int_0^(pi/2)cosx dx , then find the order in which the values I_1,I_2,I_3, exist.

The value of the definite integral int_0^(pi/2)sqrt(tanx)dx is (a) sqrt(2)pi (b) pi/(sqrt(2)) (c) 2sqrt(2)pi (d) pi/(2sqrt(2))

The value of I = int_0^(pi/4) (tan^(n+1)x)dx + 1/2 int_0^(pi/2) tan^(n-1)(x/2) dx is equal to

WB JEE PREVIOUS YEAR PAPER-QUESTION PAPER 2008-MULTIPLE CHOICE QUESTIONS
  1. If the m^(th) term and the n^(th) term of an A.P. are respectively (1)...

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  2. Find the following: int1^4abs[x-2]dx

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  3. Find int0^(pi/2) logtanxdx

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  4. Find int 1/sqrt(2x-x^2)dx

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  5. If h(x)=(x^(3)-a^(3))/(x-a), then find h(a).

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  6. The value of (1-omega+omega^(2))^(5)+(1+omega-omega^(2))^(5), where om...

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  7. The degree of the differential equation [1+((dy)/(dx))^(2)]^(5//3)=(d^...

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  8. The differential equation of all parabolas whose axes are parallel to ...

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  9. The solution of the differential equation (dy)/(dx)=e^(y+x)+e^(y-x) is

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  10. The value of the integral int(0)^(2)|x^(2)-1|dx is

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  11. If x=e^(t)sint, y=e^(t)cost then (dy)/(dx) at t=pi is

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  12. The value of (dy)/(dx) at x=(pi)/(2), where y is given by y=x^(sinx)+s...

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  13. The value of int(0)^(pi)|cosx|dx is

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  14. The value of int(-3)^(3)(ax^(5)+bx^(3)+cx+k)dx, where a, b, c, k are c...

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  15. The value of the integral int(-a)^(a)(xe^(x^(2)))/(1+x^(2))dx is

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  16. The value of the limit lim(nrarroo)((1)/(n+1)+(1)/(n+2)+.......+(1)/(6...

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  17. The order and degree of the following differential equation [1+((dy)/(...

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  18. The differential equation of the family of circles passing through the...

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  19. The differential equation of the family of curves y=e^(2x)(acosx+bsinx...

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  20. Lt(xrarr(pi)/(2))(a^cotx -a^cosx)/(cotx-cosx),agt0

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