Question

Evaluate the definite integral \[\int_1^2x^3dx.\]

Options

• 15

• \[\frac {x^4}{4}\]

• 7

• \[\frac {15}{4}\]

Answer 1

\[\frac {15}{4}\]

Explanation:

This is the correct result from finding the integral (\[\frac {x^4}{4}\]) and evaluating it as F(2) − F(1), which is \[\frac{2^4}{4}-\frac{1^4}{4}=\frac{16-1}{4}\].