Find intxe^xdx 04:04 Form the differential equation of the family of all circles touching t... 04:55 Consider the relation in the set N of natural numbers defined as R={(a... 03:51 Find the area bounded by the curve y=cosx and x axis between x=0 and x... 02:41 A manufactur...
Integrate: \int (x^2+9x)\cos xdx Integrate. \int \frac{1}{(xsin^2(ln(x)))}dx Integrate: \int \ cot \ x dx Integrate. \ \int x^2 (x^3 + 2)^{10} dx Integrate: \int \frac{\cos \sqrt x}{\sqrt x \sin \sqrt x} dx Integrate \int \frac{\sec^2 x } {\tan^3 x...
Step 1: Choose a substitutionLet t=x2. Then, we differentiate both sides with respect to x:dt=2xdx⇒dx=dt2x Step 2: Substitute into the integralNow, substitute t and dx into the integral:∫xex2dx=∫xet⋅dt2x Step 3: Simplify the integralThe x in the numerator and denominator cance...
\int \frac{3x^2 - 25x + 43}{(2x + 1)(x - 2)^2} dx Evaluate the integral int x^2 cos xdx Evaluate the integral \int_0^3 \int _0^2 (3 - y^2) dy dx. Evaluate the integral. \int \frac {e^u}{(1 - e^u)^2} \ du Evaluate the integral \int x^2\sqrt{2+9x^2}...
(2)1. -解析 u s ∫_0^12^xe^xdx =∫_0^12^xde^x =2e—ed2分步积分法: ∫udv=uv-∫vdu =2^2e^x|_0^1-e^x_2^xln21^1 =2e(1-1n2)+1n2-1. 2s ∫_(-1)^1|x^2-x|dx x^2-x=x(x-1) 且xc[.1] 得X.0]时x ∈[-1, x^2-x≥0 x[0.1]时x x^2-x≤0 ∴...
求下列定积分f(1,0)xe^xdx5.(本题满分15分)求下列定积分。(1)$$ \int _ { 0 } ^ { 1 } x e ^ { x } d x $$请写出详细的解答步骤,谢谢 相关知识点: 试题来源: 解析 =(x-1)e^x|(0,1)=0+e^0=1有问题请追问~ 反馈 收藏 ...
Integration is the inverse function of differentiation. If ddxF(x)=f(x), then ∫f(x)dx=F(x) Answer and Explanation: Let I=∫xe7xdx Integrating by parts, we get {eq}\displaystyle I = x\int e^{7x}dx - \int \frac{d}{dx} x \left( \int...Become...
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Evaluate the following integral or show that it is divergent. ∫0∞xe−xdxImproper Integrals:If ∫atf(x)dx exists for every number t≥a, then the improper integral of f over [a,∞) is defined by ∫a∞f(x) dx=limt→∞∫atf(x) dx The improper integral...
试题来源: 解析 解: $$So}oxe^{2xdx \\ \int_{0}^{1} xe^{2x} \\ = \frac{1}{2}e^{2x}|^{1}_{0} \\ = \frac{e^{2}}{2}- \frac{1}{2}e^{o} $$ $$ = \frac{e^{2}}{2}- \frac{1}{2} $$ 反馈 收藏