They began their mix of songs when she answered back saying, "I love to take a bath, light some candles and I like to sing 'Skip to My Lou.'"
Songs like "Farm" and "Falling Down" followed, until Hudson began singing the lyrics of the popular Frozen hit "Let It Go."
"No no, no, we don't let it go," Corden said. "We cannot do that. That is definitely not a public domain. That is an insanely expensive song."
The singer and the host concluded with "Happy."