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I1=int0^(pi/2)ln(sinx)dx ,I2=int(-pi/4)^...

`I_1=int_0^(pi/2)ln(sinx)dx ,I_2=int_(-pi/4)^(pi/4)ln(sinx+cosx)dxdot` Then (a)`I_1=2I_2` (b) `I_2=2I_1` `I_1=4I_2` (d) `I_2=4I_1`

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

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  2. Let f(x)={cos^2x; x e Q -cos^2x; xQ ', then set of points, where f(x)...

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  3. I1=int0^(pi/2)ln(sinx)dx ,I2=int(-pi/4)^(pi/4)ln(sinx+cosx)dxdot Then ...

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  4. If alpha and beta are the roots of x^2-2x+4=0 , then alpha^n+beta^n is...

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  5. If z is a complex number such that |z|=4 and a r g(z)=(5pi)/6 , then z...

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  6. Show that the relation geq on the set R of all real numbers is r...

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  7. The polar form of (i^(25))^3 is cospi/2+isinpi/2 b. cospi+i\ s inpi c...

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  8. ((1+sintheta+i costheta)/(1+sintheta-i costheta))^n is equal to

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  9. If(5z2)/(7z1) is purely imaginary, then |(2z1+3z2)/(2z1-3z2)|= (A)...

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  10. If complex number (3+2i sin x)/(1-2i sin x) is purely imaginary then ...

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  11. Let z be a complex number having the argument theta ,0 < theta < pi/2,...

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  12. If the area of the triangle on the complex plane formed by the points ...

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  13. If alpha + beta + gamma = pi, then the value of the determinant |(e^...

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  14. Let f(x)=x+1/xa n dg(x)=(x+1)/(x+2) Match the composite function give...

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  15. If a is perpendicular to b and p is non-zero scalar such that pr+(r*b)...

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  16. Evaluate: (sin^3x dx)/((cos^4x+3cos^2x+1)tan^(-1)(secx+cosx)

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  17. inte^(xlna)*e^x dx

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  18. If the line (x-2)/5=(y+10)/2=(z+3)/2 meets the curve x y=a^2,z=1, then...

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  19. The value of the integral int(e^(5logx)-e^(4logx))/(e^(3logx)-e^(2logx...

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  20. For any two vec aa n d vec b ,( vec axx hat i)dot( vec bxx hat i)+( v...

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