Original
If {{MATH_1}} is an antiderivative of {{MATH_2}}, which is defined on the whole real line, then {{MATH_3}} is continuous.
{{CMD_4}}
Recall: {{MATH_5}}, for all real numbers {{MATH_6}}. Therefore, {{MATH_7}} is differentiable on the whole real line.
{{CMD_8}}
{{CMD_9}}
Since {{MATH_10}} is differentiable on the whole real line, it must be continuous there.
{{CMD_11}}
{{CMD_12}}
{{CMD_13}}True{{CMD_14}}
{{CMD_15}}False{{CMD_16}}
{{CMD_17}}