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Evaluate the following definite integral: integral subscript 0 superscript 1 left parenthesis 2 e to the power of 5 x plus 1 end exponent minus

Evaluate the following definite integral: integral subscript 0 superscript 1 left parenthesis 2 e to the power of 5 x plus 1 end exponent minus x cubed right parenthesis d x

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