Operational Amplifier Integator
It appears sound.  I'll just assume you calculated your time constants correctly, as you don't list any design goals.

Just to avoid noise, though, I'd suggest moving the switch to where the caps join the output (the switch is larger, and you may not want the noise it picks up on your virtual ground).  

You also might want to eliminate the "switch glitch" where both caps are switched out, by hardwiring the 47pF and switching the 680pF in and out.  This has the additional advantage of requiring only an SPST switch and thus reducing routing (and as such noise).