Is CRC32 really so bad for file integrity check?

Of course that MD5 is better then CRC32, SHA1 is better then MD5 and so on... But also they are also much slower then CRC32.

Right know, I am thinking about how to check consistency of being transfered file and CRC32 is fastest option.

I haven't found anywhere how bad is CRC32 for integrity checks (maybe in other words how is probably that CRC32 will not detect malformed file)?