Step 1 :Define the function to be integrated as \(f = 8 \theta \sin \left(8 \theta^{2}\right)\).
Step 2 :Perform the integration to find the integral of the function, which is \(-\cos \left(8 \theta^{2}\right) / 2\).
Step 3 :Simplify the result of the integration to get \(-\cos \left(8 \theta^{2}\right) / 2\).
Step 4 :Add the constant of integration \(C\) to the result.
Step 5 :The indefinite integral of \(8 \theta \sin \left(8 \theta^{2}\right)\) is \(\boxed{-\frac{1}{2}\cos \left(8 \theta^{2}\right) + C}\).