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If An=int0^(pi/2)(sin(2n-1)x)/(sinx)dx ...

If `A_n=int_0^(pi/2)(sin(2n-1)x)/(sinx)dx ;B_n=int_0^(pi/2)((sinn x)/(sinx))^2dx ;forn 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)`

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RESONANCE DPP-JEE MAINS-All Questions
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  2. "lim"(x->0)(ln(t a n(pi/4+a x)))/(sinb x),b!=0 is equal to (a)a/b (b...

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  3. If An=int0^(pi/2)(sin(2n-1)x)/(sinx)dx ;Bn=int0^(pi/2)((sinn x)/(sinx...

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  4. Which of the following functions is periodic (a) cos^2x+sinx^3+"tan"...

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  5. Solve the following system of inequations: 4(tan^(-1)x)^2-8tan^(-1)x+3...

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  6. The number of values of k for which the system of the equations (k+1)x...

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  7. Projection of line (x+1)/2+(y+1)/(-1)=(z+3)/4 on the plane x+2y+z=6; h...

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  8. ("lim")(x→0^+)("sin"[cosx])/(1-[cosx]) ([.] denotes the greatest integ...

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  9. If [dot] represents the greatest integer function, then int4^(10)([x^2...

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  10. Lim(x rarr 0^+) ((pi/2-cot^(-1){x})x)/("sgn"x-cosx) (where {.} and sgn...

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  11. int2^4((log)x2-(((log)2 2)^2)/(ln2))dx= 0 (b) 1 (c) 2 (d) 4

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

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  13. Prove that int0^2|x^2+2x-3|dx=4

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  14. Let image of the line (x-1)/3=(y-3)/5=(z-4)/2 in the plane 2x-y+z+3=0 ...

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  15. Show that sin^(- 1)(sin((33pi)/7))+cos^(- 1)(cos((46pi)/7))+tan^-1(-ta...

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  16. If [dot] denotes the greatest integer function, then (lim)(xvec0)x/...

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  17. prove "lim"(xvecoo)(ln x)/([x])="lim"(xvecoo)([x])/(ln x) where [.]...

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  18. In which of the following function, range is not singleton set f(x)...

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  19. If A is domain of f(x)=lntan^(-1)((x^3-6x^2+11 x-6)(x)(e^x-5) and B is...

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  20. Let tan(2pi|sintheta|)=cot(2pi|costheta|) , where theta in R and f(x)...

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