Question

Consider the following function. x² x² − 5 dx

Answer 1

To evaluate the integral of the given function, we need to find the antiderivative of the function and evaluate it between the limits of integration.

Step-by-step explanation:

To evaluate the integral of the given function, we need to find the antiderivative of the function and evaluate it between the limits of integration.

The integral of x²(x² - 5) dx can be evaluated using the power rule and the properties of integration.

First, we expand the expression inside the parentheses: x⁴ - 5x².

Then, we use the power rule to find the antiderivative of each term: (1/5)x⁵ - (5/3)x³ + C.

Finally, we evaluate the antiderivative between the given limits, if any are provided.