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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 `I_1=2I_2` (b) `I_2=2I_1` `I_1=4I_2` (d) `I_2=4I_1`

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I_(1)=int_(0)^((pi)/2)In (sinx)dx, I_(2)=int_(-pi//4)^(pi//4)In(sinx+cosx)dx . Then

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RESONANCE DPP-JEE MAINS-All Questions
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  2. "I f"|(z1-3z2)/(3-z1 bar(z2))|=1"and"|z2|!=1,t h e n|z1|"i s" 3 (b) ...

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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. Let |z1|=|"z"2|="p"/2 then "|z1+z2|^2+|z1-z2|^2= a.p^2 b. (p^2)...

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

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

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  8. The polar form of the complex number (i^(25))^3 is (a) cos(pi/2)+isin(...

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  9. ((1+sintheta+i costheta)/(1+sintheta-i costheta))^n is equal to

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  10. If 3^(49)(x+i y)=(3/2+(sqrt(3))/2i)^(100) and x=k y then k is: a.-...

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

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

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

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

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

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  16. If vec a is perpendicular to vec b and vec r is non-zero vector suc...

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  17. int(1+x^4)/((1-x^4)^(3/2))dx i s e q u a l to 1/(sqrt(...

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

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  19. int(sin^4x-cos^4x)dx is equal to

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

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