Question: 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 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 equals 2 over 5 e to the power of 6 plus 1 fourth minus 2 over 5 e 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 equals short dash 2 over 5 e to the power of 6 minus 1 fourth plus 2 over 5 e 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 equals 2 over 5 e to the power of 6 plus 1 fourth 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 equals 2 over 5 e to the power of 6 minus 1 fourth minus 2 over 5 e

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