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If An=int0^(pi/2)(sin(2n-1)x)/(s in x)"d...

If `A_n=int_0^(pi/2)(sin(2n-1)x)/(s in x)"dx";"B"_"n"=int_0^("pi"/2)(("s i n n x")/(s in x))^2"dx";"f o rn" in "N","t h e n"` `A_(n+1)-A_n` b. `B_(n+1)-B_n` c. `A_(n+1)-A_n=B_(n+1)` d. `B_(n+1)-B_n=A_(n+1)`

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If quad A_(n)=int_(0)^((pi)/(2))(sin(2n-1)x)/(sin x)dx;B_(n)=int_(0)^((pi)/(2))((sin nx)/(sin x))^(2)dx; for n in N, then

A_(n)=int_(0)^((pi)/(2))(sin(2n-1)x)/(sin x)dx;B_(n)=int_(0)^((pi)/(2))((sin nx)/(sin x))^(2)dx; for n in N then A_(n+1)=A_(n)( b) B_(n+1)=B_(n)A_(n+1)-A_(n)=B_(n+1)(d)B_(n+1)-B=A_(n+1)

If A_(n)=int_(0)^((pi)/(2))(sin(2n-1)x)/(sin x)dx,B_(n)=int_(0)^((pi)/(2))((sin nx)/(sin x))^(2)dx for n in N, Then (A)A_(n+1)=A_(n)(B)B_(n+1)=B_(n)(C)A_(n+1)-A_(n)=B_(n+1)(D)B_(n+1)-B_(n)=A_(n+1)

If I_n=int_0^(pi/2) (sin(2n-1)x)/sinx)dx , and a_n=int_0^(pi/2) ((sinntheta)/sintheta)^2 d theta , then a_(n+1)-a_n= (A) I_n (B) 2I_n (C) I_(n+1) (D) 0

Given that a_(n)=int_(0)^(pi) (sin^(2){(n+1)x})/(sin2x)dx What is a_(n-1)-a_(n-4) equal to ?

If a_n= int_0^pi(sin(2n-1)x)/sinx dx, then a_1a_2a_3 are in (A) A.P. (B) G.P. (C) H.P. (D) none of these

(b) int(x^(n-1)dx)/(sqrt(a^n+x^n))

RESONANCE DPP-JEE MAINS-All Questions
  1. Consider I1=int0^(pi/4)e^x^2dx ,I2=int0^(pi/4)e^x dx ,I3=int0^(pi/4)e^...

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  2. (lim)(xvec0)(s in x^4-x^4cos x^4)/(x^4(e^(2x)^4-1-2x^4)) 1/3 b. 1/2 c...

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  3. If An=int0^(pi/2)(sin(2n-1)x)/(s in x)"dx";"B""n"=int0^("pi"/2)(("s i ...

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  4. If A , B ,C are angles of a triangles, then the value of |[e^(2i A),...

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  5. Sum of all the solutions of the equation : tan^2 33x = cos2x - 1 which...

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  6. Statement-1 : Let z be a complex number satisfying |z-3|lt=|z-1|,|z-3|...

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  7. If 0ltaltbltc and the roots alpha,beta of equation a="" x^2+b="" x+c="...

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  8. If a^2+b^2=1 t h e n (1+b+i a)/(1+b-i a)= 1 b. 2 c. b+i a d. a+...

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  9. The graph of the function y=cos xcos(x+2)-cos^2(x+1) is: (A) &n...

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  10. If in a triangle A B C ,(a+b+c)(b+c-a)=kdotb c ,t h e n : k<0 b. k >6...

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  11. A round balloon of radius r subtends an angle alpha at the eye of the ...

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  12. If f^(prime)(1)=-2sqrt(2)a n dg^(prime)(sqrt(2))=4 , then the derivati...

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  13. Let an be the n^(t h) term of an A.P. If sum(r=1)^(100)a(2r)=alpha&su...

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  14. Let vectors vec a , vec b , vec c ,a n d vec d be such that ( vec ax...

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  15. A normal is drawn at point P(a ,a^n) on the curve =x^n in the first qu...

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  16. Sum of all the numbers between 1 and 1000 which are divisible by 3 i...

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  17. int(cos^3x)/(sqrt(sin^7x))dx= 2/5dotcos e c^(7/2)x+2sqrt(cose c x)+c...

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  18. Given an A.P. whose terms are all positive integers. The sum of its fi...

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  19. If a, b, c are in A.P. and b-a, c-b, a are in G.P. then a:b:c=?

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  20. Evaluate: int(x+1)/(x(1+xe^x)^2)dx

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