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Oscillations

# If the acceleration of the mass of a spring mass system is equal to $5 \sin 4t,$ the resulting motion is

a.       A SHM with zero mean displacement b.      Combination of SHM and linear motion  c.       A SHM with the mean displacement of 1 unit d.      The mass does not move.

'b' is right as integral of $\sin wt$ is $\large\frac{(1-\cos wt)}{w}$ & integral $ag(1-\cos wt)$ is $\large\frac{t}{w}+\frac{1}{w^2}$$\sin wt$