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int((1)/(5+4x^(2))+a^(3x+2))dx...

`int((1)/(5+4x^(2))+a^(3x+2))dx`

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If I_(1)=int_(0)^(1) 2^(x^(2)) dx, I_(2)=int_(0)^(1) 2^(x^(3)) dx, I_(3)=int_(1)^(2) 2^(x^(2))dx and I_(4)=int_(1)^(2) 2^(x^(3))dx then