Is the Antiderivative For $j(x)=a e^{x}+a \cos x+ a x^{7}$ , Where a Is a Constant, Given By

True/False

Is the antiderivative for $j(x)=a e^{x}+a \cos x+ a x^{7}$ , where a is a constant, given by $a e^{x}+a \sin x+\frac{a x^{8}}{8}+c$ ?