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int(1)^(6)((1)/(3)+3i)^(3)...

int_(1)^(6)((1)/(3)+3i)^(3)

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Evaluate (1+i)^(6) + (1-i)^(3)

l_(1)=int_(0)^(1)3^(x^(2))dx,l_(2)=int_(0)^(1)3^(x^(3))dx,l_(3)=int_(1)^(2)3^(x^(2))dx,l_(4)=int_(1)^(2)3^(x^(3))dx then (i)I_(1)>I_(2)(ii)I_(2)>I_(1)(iii)I_(3)>I_(4)(iv)I_(4)>I_(3)