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not stretchy integral e to the power of x to the power of 2 end exponent end exponent x   d x is equal to

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  1. e to the power of x to the power of 2 end exponent end exponent    
  2. fraction numerator 1 over denominator 2 end fraction e to the power of x to the power of 2 end exponent end exponent    
  3. 2 e to the power of x to the power of 2 end exponent end exponent    
  4. fraction numerator e to the power of x to the power of 2 end exponent end exponent minus x to the power of 2 end exponent over denominator 2 end fraction    

    Answer:The correct answer is: fraction numerator 1 over denominator 2 end fraction e to the power of x to the power of 2 end exponent end exponentnot stretchy integral e to the power of x to the power of 2 end exponent end exponent. x d x equals fraction numerator 1 over denominator 2 end fraction not stretchy integral left parenthesis 2 x right parenthesis e to the power of x to the power of 2 end exponent end exponent d x
    equals fraction numerator 1 over denominator 2 end fraction not stretchy integral e to the power of t end exponent d t equals fraction numerator 1 over denominator 2 end fraction e to the power of t end exponent equals fraction numerator 1 over denominator 2 end fraction e to the power of x to the power of 2 end exponent end exponent, (Put x to the power of 2 end exponent equals t rightwards double arrow d t equals 2 x d x right parenthesis.

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