)okhjonas said:
The antiderivative of (x^2)e^((-x)^3) is (1/3)e^((-x)^3) + C.
To solve for the antiderivative of (x^2)e^((-x)^3), you can use the substitution method or integration by parts. Both methods involve making a substitution for the inner function of the exponential term and then integrating the resulting expression.
The antiderivative of (x^2)e^((-x)^3) cannot be simplified any further. However, you can use numerical methods to approximate its value.
Yes, the antiderivative of (x^2)e^((-x)^3) is a continuous function as it is the sum of continuous functions.
The domain of the antiderivative of (x^2)e^((-x)^3) is all real numbers, while the range is also all real numbers. This is because the exponential function has a range of (0, infinity) and when multiplied by x^2, it does not affect the domain or range.