Approximate this, integral ${\displaystyle \underset{\frac{}{4}}{\overset{\frac{}{2}}{}}}sin(x)dx$ using the trapezoidal rule with $N=4.$

Select one:

a$.0\mathrm{.}852$

b$.0\mathrm{.}514$

c$.0\mathrm{.}705$

d$.0\mathrm{.}233$