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I1=int0^(pi/2)(sinx-cosx)/(1+sinxcosx)dx...

`I_1=int_0^(pi/2)(sinx-cosx)/(1+sinxcosx)dx ,I_2=int_0^(2pi)cos^6xdx ,I_3=int_(pi/2)^(pi/2)sin^3xdx ,I_4=int_0^1 1n(1/x-1)dxdotT h e n` `I_2=I_3=I_4=0,I_1!=0` `I_1=I_2=I_3=0,I_4!=0` `I_1=I_2=I_3=0,I_4!=0` `I_1=I_2=I_3=0,I_4!=0`

A

`I_(1)=I_(2)=I_(3)=I_(4)=0`

B

`I_(1)=I_(2)=I_(3)=0` but `I_(4)!=0`

C

`I_(1)=I_(3)=I_(4)=` but `I_(2)!=0`

D

`I_(1)=I_(2)=I_(4)=0` but `I_(3)!=0`

Text Solution

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The correct Answer is:
C
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