## Key concepts 13.2-13.5

• Definition of double integrals over bounded (begrensa) regions.
• Fubini's theorem (iterated integrals) for double and triple integrals.
• Elementary properties of double and triple integrals.
• The area of a closed, bounded region $R$ in the plane is $A = \iint \limits_R \, dA$.
• The volume of a closed, bounded region $D$ in space is $V = \iiint \limits_D \, dV$.
• Average value (gjennomsnitt) of an integrable function over a bounded region in space and in the plane.
• Definition of double integrals in polar coordinates.
• The area of a closed, bounded region $R$ in the plane is $A = \iint \limits_R r \, dr \, d\theta$ in polar coordinates.
• Change of an integral in Cartesian coordinates into one in polar coordinates.
• Definition of triple integrals over bounded (begrensa) regions.