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Evaluate: int 2^(2^x) * 2^x dx...

Evaluate: `int 2^(2^x) * 2^x dx`

Text Solution

Verified by Experts

`I=int2^(2^(2^(x)))2^(2^(x))2^(x) dx`
Let `2^(2^(2^(x)))=t`
or `2^(2^(2^(x)))2^(2^(x))2^(x)(log2)^(3)dx=dt`
` :. I=int(1)/((log2)^(3))dt=(1)/((log2)^(3))t+c`
`=(1)/((log2)^(3))2^(2^(2^(x)))+C`
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