All right, here we have these double integral here. One, two, five and then Teo for of one over. Why d x y Okay, so anti derivative of this will. Actually, we can factor out the one over five. You know, I wonder if I wonder why we just have the inner girl from two to four d X But this is just a rectangle, right? This is just like integrating the constant function of one. So we just take the difference of the inquest. So that's two. So you get a factor of two Integrate One defies one over Why? Bye Anti derivative of one over. Why his natural log? Absolute value of why I rated from one to five citizens too natural. Five minus well to national. I'll have one with that. Syria. So there's your answer

## Discussion

## Video Transcript

All right, here we have these double integral here. One, two, five and then Teo for of one over. Why d x y Okay, so anti derivative of this will. Actually, we can factor out the one over five. You know, I wonder if I wonder why we just have the inner girl from two to four d X But this is just a rectangle, right? This is just like integrating the constant function of one. So we just take the difference of the inquest. So that's two. So you get a factor of two Integrate One defies one over Why? Bye Anti derivative of one over. Why his natural log? Absolute value of why I rated from one to five citizens too natural. Five minus well to national. I'll have one with that. Syria. So there's your answer

## Recommended Questions

Evaluate each iterated integral. (Many of these use results from Exercises $1-10 .$

$$

\int_{1}^{2} \int_{0}^{5}\left(x^{4} y+y\right) d x d y

$$

Evaluate each iterated integral. (Many of these use results from Exercises 1-10 ).

$$\int_{1}^{2} \int_{4}^{9} \frac{3+5 y}{\sqrt{x}} d x d y$$

Evaluate each iterated integral. (Many of these use results from Exercises 1-10 ).

$$\int_{3}^{4} \int_{1}^{2}\left(\frac{6 x}{5}+\frac{y}{x}\right) d x d y$$

Evaluate each iterated integral. (Many of these use results from Exercises $1-10 .$

$$

\int_{2}^{4} \int_{3}^{5}\left(\frac{x}{y}+\frac{y}{3}\right) d x d y

$$

Evaluate each iterated integral. (Many of these use results from Exercises 1-10 ).

$$\int_{0}^{3} \int_{4}^{5} x \sqrt{x^{2}+3 y} d y d x$$

Evaluate each iterated integral. (Many of these use results from Exercises $1-10 .$

$$

\int_{1}^{3} \int_{1}^{3} \frac{1}{x y} d y d x

$$

Evaluate each iterated integral. (Many of these use results from Exercises 1-10 ).

$$\int_{3}^{9} \int_{5}^{7}\left(\frac{x}{y}+\frac{y}{5}\right) d x d y$$

Evaluate each iterated integral. (Many of these use results from Exercises 1-10 ).

$$\int_{0}^{3} \int_{1}^{2}\left(x y^{3}-x\right) d y d x$$

Evaluate each iterated integral. (Many of these use results from Exercises 1-10 ).

$$\int_{16}^{25} \int_{2}^{7} \frac{3+5 y}{\sqrt{x}} d y d x$$

Evaluate each iterated integral. (Many of these use results from Exercises $1-10 .$

$$

\int_{0}^{1} \int_{3}^{6} x \sqrt{x^{2}+3 y} d x d y

$$