`int_(-pi/2)^(pi/2)sin^3xdx`

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_4=I_3=0,I_2!=0

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Evaluate the following integral: int_(-pi//2)^(pi//2)sin^3x\ dx

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