Question
Write five other iterated integrals that are equal to the given iterated integral.$ \displaystyle \int_0^1 \int_y^1 \int_0^z f(x, y, z)\ dx dz dy $
Step 1
The given integral is $\displaystyle \int_0^1 \int_y^1 \int_0^z f(x, y, z)\ dx dz dy $. This means that we are integrating the function $f(x, y, z)$ over the region defined by $0 \leq y \leq 1$, $y \leq z \leq 1$, and $0 \leq x \leq z$. Show more…
Show all steps
Your feedback will help us improve your experience
Alan Ghazarians and 80 other Calculus 3 educators are ready to help you.
Ask a new question
Labs
Want to see this concept in action?
Explore this concept interactively to see how it behaves as you change inputs.
Key Concepts
Recommended Videos
Write five other iterated integrals that are equal to the given iterated integral. $ \displaystyle \int_0^1 \int_y^1 \int_0^y f(x, y, z)\ dz dx dy $
Multiple Integrals
Triple Integrals
Write five other iterated integrals that are equal to the given iterated integral. $$\int_{0}^{1} \int_{y}^{1} \int_{0}^{y} f(x, y, z) d z d x d y$$
Write five other iterated integrals that are equal to the given iterated integral. $$\int_{0}^{1} \int_{0}^{a^{2}} \int_{a}^{y} f(x, y, z) d z d y d x$$
Transcript
18,000,000+
Students on Numerade
Trusted by students at 8,000+ universities
Watch the video solution with this free unlock.
EMAIL
PASSWORD