Question
If $f$ is a constant function, $f(x, y)=k$, and $R=[a, b] \times[c, d]$, show that$$\iint_R k d A=k(b-a)(d-c)$$
Step 1
We need to evaluate the double integral of a constant function \( f(x, y) = k \) over the rectangular region \( R = [a, b] \times [c, d] \). Show more…
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How do i solve this question?
Let $R$ be a region in the $x y$ -plane whose area is $B$. If $f(x, y)=k$ for every point $(x, y)$ in $R$, what is the value of $\int_{R} \int f(x, y) d A ?$ Explain.
Multiple Integration
Double Integrals and Volume
Let $R$ be a region in the $x y$ -plane whose area is B. When $f(x, y)=k$ for every point $(x, y)$ in $R,$ what is the value of $\int_{R} \int f(x, y) d A$ ? Explain.
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