Calculate the double integral.\iint\limits _{R}\dfrac {1}{1+x+y}\d A, \ R=[1,3]* [1,2] 相关知识点: 试题来源: 解析 6ln 6-5ln 5-4ln 4+3ln 3 \begin{split}\iint_{R}\dfrac {1}{1+x+y}\d A&=\int _{1}^{3}\int _{1}^{2}\dfrac {1}{1+x+y}\d y\d x...
百度试题 结果1 题目【题目 】Calculate the double integral.A, R=[1,3]*[1,2]R 相关知识点: 试题来源: 解析 【解析】 6ln6-5ln5-4ln4+3ln3 反馈 收藏
Calculate the double integralI=∬R2(3x−4y)2dA, whereR={(x,y)|0≤x≤1,1≤y≤3}(rectangle). Evaluating a Double Integral in Rectangular Coordinates: When evaluating a double integral iteratively, the differentials in the double ...
Calculate the double integral \iint_R (x + y )^2 e^{x^2- y^2} dx dy where R is the square with vertices (5,0),(0, 5),(-5,0),(0,-5). Calculate the double integral \iint_{R} (x + y)^{2} e^{x^{2} - y...
Calculate the double integral \iint_R x cos(1x + y) dA where R is the region: 0 \le x \le 1\pi/6, 0 \le y \le 2\pi/4. Calculate the double integral \iint_R (10x + 6y + 60)dA where R is the region: 0 \le x \le 3, 0 \le y...
Calculate the double integral. \iint\limits _{R}(y+xy^{-2})\d A, R=\( (x,y)\ |\ 0≤ x≤ 2,1≤ y≤ 2\) .相关知识点: 试题来源: 解析 4 \begin{split}\iint\limits _{R}(y+xy^{-2})\d A&=\int ^{2}_{1}\int ^{2}_{0}(y+xy^{-2})\d x\d y=\int ^{...
Calculate the double integral._R (1+x)(1+v^2), R=\( (x,y) ∣ 0≤ x≤ 1,0≤ y≤ 1\) 相关知识点: 试题来源: 解析 (π )3 (split)_R (1+x^2)(1+y^2) & =∫ ^1_0∫ ^1_0 (1+x^2)(1+y^2)=∫ ^1_0(1+x^2)∫ ^1_0 1(1+y^2)=[x+ (1)(3)x^...
how to calculate the double integral of f(x,y) within the intersected area? f(x,y)=a0+a1y+a2x+a3xy The area is the intersection of an ellipse and a circle. Any help will be appreciated, I don't know how to do this. can I use x=racosθ,y=rbsinθ to trans...
This page calculates the double integral of the binary function f(x, y). You must first enter the range x1 of the x variable, the range of x2 and y variables y1, y2, as if the integral is in the rectangular range, but use the function The relational function GE (greater than or ...
To evaluate the double integral we first need to find the limits for integration based on the given bounding region. Here, we need to find the equation of the through the vertices of the triangle. Answer and Explanation:1 Bel...