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

Factor .
Simplify the expression.
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 . Then , so . Rewrite using and .
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