Calculate the double integral of f(x) = e^x , where D is bounded by the lines y = x+1, y = x, x =...
Question:
Calculate the double integral of {eq}f(x) = e^x {/eq}, where {eq}D {/eq} is bounded by the lines {eq}y = x+1,\ y = x, \ x = 9, \ x = 1 {/eq} and sketch the domain {eq}D {/eq}.
Double Integrals:
The double integral of a function {eq}z = f(x,y) {/eq} over a 2-dimensional region D defined as the region between the graphs of two functions {eq}D = \left\{ (x,y): a \le x \le b, \ g(x) \le y \le h(x) \right\} {/eq} is computed using iterative integrals as:
$$\displaystyle \iint_D f(x,y) dxdy = \int_a^b \int_{g(x)}^{h(x)} f(x,y) dy dx $$
Answer and Explanation: 1
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View this answerWe have to calculate the double integral of the function {eq}f(x,y) = e^x {/eq}, over a domain D bounded by the lines {eq}y = x+1,\ y = x, \ x = 9,...
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Double Integrals: Applications & Examples
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Chapter 12 / Lesson 14
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In mathematics, double integrals enable the process of integration in two-dimension areas. Explore the applications and examples of double integrals. Review the background on integrals, finding the area of a bounded region, the ordering of integration, finding a volume under the surface, and calculating the mass.
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