Question

Evaluate \[\int_{0}^{1}x\,dx\].

Options

• \[0\]

• \[\frac{1}{2}\]

• \[1\]

• \[2\]

Answer 1

Using \[\frac{x^2}{2}\], the value is \[\left[\frac{x^2}{2}\right]_{0}^{1}\]. Thus, \[\frac{1^2}{2}-\frac{0^2}{2}=\frac{1}{2}\].