Question: Find an integral equivalent to integral subscript 0 superscript 1 x squared space e to the power of negative x cubed end exponent space d

Find an integral equivalent to integral subscript 0 superscript 1 x squared space e to the power of negative x cubed end exponent space d x, and evaluate the integral. Option A integral subscript 0 superscript 1 space 3 e to the power of u d u comma space 3 left parenthesis e minus 1 right parenthesis Option B negative 1 third integral subscript 0 superscript negative 1 end superscript space e to the power of u d u comma space 1 third left parenthesis 1 minus 1 over e right parenthesis Option C 1 third integral subscript 0 superscript negative 1 end superscript space e to the power of u d u comma space 1 third left parenthesis 1 minus e right parenthesis Option D integral subscript 0 superscript 1 space e to the power of u d u comma space left parenthesis e minus 1 right parenthesis

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