Decide Whether Each Integral Converges $\frac { 1 } { 4 }$

Multiple Choice

Decide whether each integral converges. If the integral converges, compute its value.
Choose the correct letter for each question.

-converges to $\frac { 1 } { 4 }$

A) $\int _ { 0 } ^ { + \infty } \sin ( 2 x ) \mathrm { d } x$
B) $\int _ { 0 } ^ { + \infty } e ^ { - 2 x } \sin ( 2 x ) \mathrm { d } x$