“The integral of a function is a measure of the area under the curve.” In this sentence, “integral” is closest in meaning to ___. A. differential B. derivative C. sum D. quotient 相关知识点: 试题来源: 解析 C。“integral”在数学中表示积分,是对函数曲线下面积的一种度量。“sum...
Step 1: Graph the Area (using Desmos): This confirms that we are dealing with a negative area under the x-axis. In other to get a positive value we have to put a negative sign in front of the integral: In other words, you’re taking the negative of the integral solution (a negativ...
The 'Area under the Curve' refers to the integral under the enhancement curve and is a commonly used parameter in the field of Nursing and Health Professions. It is measured during the early period, typically within 90 seconds, and can be further specified as the initial area under the curve...
Area under the CurveSynonymsAUCDefinitionThe area under the curve (AUC) is the integral of drug blood level over time from zero to infinity, and is a measure of the quantity of drug absorbed and in the body.NSAIDs, Pharmdoi:10.1007/978-3-540-29805-2_277J. R. Turner...
then the limit as n →∞ of the Riemann sum is the definite integral of f from a to b. b a f (x)dx = lim n→∞ n i =1 f (x i )∆x The numbers a and b are the limits of integration. This definite integral represents the area under the curve between x = a and...
Area Under a Curve from First Principles In the diagram above, a "typical rectangle" is shown with widthΔx\displaystyle\Delta{x}Δxand heighty\displaystyle{y}y. Its area isyΔx\displaystyle{y}\Delta{x}yΔx. If we add all these typical rectangles, starting froma\displaystyle{a}aand fi...
Answer to: Find the area under the curve: integral from 1 to 3 of 7*sqrt(x - 1) dx. By signing up, you'll get thousands of step-by-step solutions...
【解析】Subsiute o fo y into y=2/x tthen solve for .No solutionT he area of the region between the curves isdefined as the integral of the upper curveminus the integral of the lower curve over each region. T he regions are determined by the intersectionpoints of the curves....
An integral is often described as signed area under a curve. If the function is above the {eq}x {/eq}-axis, then the area between the curve and the {eq}x {/eq}-axis has positive sign; if the function is below the {eq}x {/eq}-axis, then the area between the...
Solve by substitution to find the intersection between the curves. ( (0,0)) The area of the region between the curves is defined as the integral of the upper curveminus the integral of the lower curve over each region. The regions are determined by the intersectionpoints of the cu...