Since ( -1) is constant with respect to ( x), move ( -1) out of the integral. ( ex]_1^2-(∫ )_1^2xdx) By the Power Rule, the integral of ( x) with respect to ( x) is ( 1/2x^2). ( ex]_1^2-(1/2x^2]_1^2)) Simplify the answer. ( e-3/2) The result ca...
1) Subtraction rule of integration. {eq}\int (f(x)-g(x)-h(x))\ dx=\int f(x)\ dx-\int g(x)\ dx-\int h(x)\ dx {/eq} 2) Some standard formulas of integration. {eq}\int e^x\ dx=e^x+C\\[2ex] \int \dfrac{1}{x}\ dx=\ln|x|+C {/eq} ...
Integrate by parts using the formula( ∫ udv=uv-∫ vdu), where ( u=x^2) and ( dv=e^(4x)).( x^2(1/4e^(4x))-∫ 1/4e^(4x)(2x)dx)Simplify.( (x^2e^(4x))/4-∫ (e^(4x)x)/2dx)Since ( 1/2) is constant with respect to ( x), move ( 1/2) out of the inte...
11.7万 213 08:54 App 有理函数不定积分3 Integral of 1/(x^5 + 1) dx 2419 1 03:41 App 求不定积分 Integral of (x e^(2 x))/(4 x^2 + 4 x + 1) dx 5560 6 03:15 App 求不定积分 Integral of x^5/Sqrt[x^3 + 1] dx 8.9万 92 06:36 App 求解微分方程 y'y''=y''' 3....
Evaluate the integral over the region0≤x≤5and−5≤y≤0. Specify the'iterated'method and approximately 10 significant digits of accuracy. formatlongq = integral2(fun,0,5,-5,0,'Method','iterated',...'AbsTol',0,'RelTol',1e-10) ...
2.用词干(词根)的情况及例句 -当表示数学概念中的积分,或者强调作为整体的一部分这种抽象概念时,可以直接用词干“integral”。 -例句: - The integral of \(x^2\) is \(\frac{1}{3}x^{3}+C\)(\(x^2\)的积分是\(\frac{1}{3}x^{3}+C\))。 - Honesty is an integral part of his charact...
举报 不定积分find the integral of e^(-1/x^2). 扫码下载作业帮搜索答疑一搜即得 答案解析 查看更多优质解析解答一 举报 e^(-1/x^2)=1/[e^(1/x^2)]若x→0,则x^2→0,1/x^2→∞因为e>0,所以e^(1/x^2)→∞则1/[e^(1/x^2)]→0所以lim(x→0)e^(-1/x^2)=0 ...
Improper Integral of Oscillatory Function Create the functionf(x)=x5e−xsinx. fun = @(x)x.^5.*exp(-x).*sin(x); Evaluate the integral fromx=0tox=Inf, adjusting the absolute and relative tolerances. formatlongq = integral(fun,0,Inf,'RelTol',1e-8,'AbsTol',1e-13) ...
基本知识: 键盘事件对象属性 keyCode:获取键盘对应的ASCII码值(按键值) document.onkeydown = function(e){ var e = e || event; alert(e.keyCode); } onkeydown事件下,获取字母键都是按照大写字母的ASCII码值,也可以获取功能键的值 e.ctrlKey e.shiftKey e.altKey 功能键,当键盘... ...
Calculate \int_0^{\infty} xe^{(-x)} dx Evaluate: integral {sin x}/{e^x} dx Compute the following indefinite integral. integral (3e^{8 x} - 2 e^{-x / 2}) dx Compute the indefinite integral: integral of (4x^3 + 8x + 3) dx. ...