Is the Antiderivative For $h(x)=\frac{a}{x}+\sin \alpha x$ , Where a Is a Constant, Given By

True/False

Is the antiderivative for $h(x)=\frac{a}{x}+\sin \alpha x$ , where a is a constant, given by $\ln |x|-\frac{1}{a} \cos \alpha x+C$ ?