But in general there is also some ambiguity between tensors and pseudotensors or between even and odd when it comes to integrands An example in one dimension when and is The first integral is equal to either of the other two integrals In the second integral the integrand transforms like a tensor or odd tensor density but the integration limits are no longer from lower to higher in a higher dimensional example they would be no longer right handed In the second integral the integrand transforms like a pseudotensor or even tensor density because we have kept the integration limits in proper order b a in higher dimensions we would say that we are maintaining right handedness The usual convention I ve seen is to keep the coordinates right handed and to transform the integrand as a pseudotensor density but the other approach is equally valid talk contribs