What is the value of the definite integral \(\mathop \smallint \limits_0^\pi sinx\ dx\), taking 4 sub-intervals of equal width, using Trapezoidal rule?

1

\(\frac{\pi }{4}\left[ {\sqrt 2 - 1} \right]\)

2

\(\frac{\pi }{4}\left[ {2 + \sqrt 2 } \right]\)

3

\(\frac{\pi }{4}\left[ {2 - \sqrt 2 } \right]\)

4

\(\frac{\pi}{4}\left[ {1 + \sqrt 2 } \right]\)

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