Factor .

Negate the exponent of and move it out of the denominator.

Multiply the exponents in .

Apply the power rule and multiply exponents, .

Move to the left of .

Rewrite as .

Let . Find .

Differentiate .

Differentiate using the chain rule, which states that is where and .

To apply the Chain Rule, set as .

Differentiate using the Exponential Rule which states that is where =.

Replace all occurrences of with .

Since is constant with respect to , the derivative of with respect to is .

Move to the left of .

Rewrite as .

Differentiate using the Power Rule which states that is where .

Multiply by .

Reorder and .

Reorder and .

Rewrite the problem using and .

Move the negative in front of the fraction.

Since is constant with respect to , move out of the integral.

Replace all occurrences of with .

Evaluate integral of (x^2)/(e^(x^3)) with respect to x