Question

The value of \[\int_2^5x^2\] dx is ______.

Options

• 39

• \[\frac {117}{3}\]

• 27

• 45

Answer 1

The value of \[\int_2^5x^2\] dx is \[\frac {117}{3}\].

Explanation:

Using ∫x² dx = \[\frac {x^3}{3}\]​, the definite integral = \[\frac {5^3}{3}\] − \[\frac {2^3}{3}\] = \[\frac {125−8}{3}\] = \[\frac {117}{3}\].