Use a calcu1ato~ to find each of the fol1owing. Round all answers to four places past the decimal point.sec 45 54'
Math241 Lecture 7: Double Integrals Just like how in single variable calculus the integral could be interpreted as the area under a curve, in multivariable calculus the double integral can be interpreted as the volume under a surface. ❑ volume= f x,y dA ∬R ( ) R is the region in which you are integrating. Area is the derivative of volume. Iterated Integrals Now the easiest type of double integral is integrating over a rectangle. That is, we are integrating over a fixed surface that is constant. First we take the inner integral and integrate with respect to that variable while holding the other one constant. Then we integrate the outer variable like we did in Calculus 1. ❑ 1. ∬ 5x+ydydx [2,5] x