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解析 【解析】 $$ \int \sin 2 x d x = - \frac { 1 } { 2 } \cos 2 x + C . $$ 结果一 题目 【题目】求∫sin2xdx 答案 【解析】分析显然该积分不能用直接积分法求出.但基本积分公式中有 ∫sinxdx=-cosx+C比较∫sinxdx 和∫sin2xdx ,我们发现只是sn2x中,x的系数多了一个常数因子2,...
【题目】$$ \int \sin 2xe^{- \sin x}dx $$ 相关知识点: 试题来源: 解析 【解析】 解: $$ 原式= \int 2 \sin x \cos xe^{- \sin x}dx \\ =- \int 2 \sin xd(e^{- \sin x}) \\ =-2e^{- \sin x}\sin x+2 \int e^{- \sin x}d(\sin x) \\ =-2e^{- \sin x...
1. Trigonometric identity: cos2(x)=1+cos(2x)2.2. Move the constant out: ∫b⋅f(x)dx=b⋅∫f(x)dx.3. Common integration: ∫cos(u)du=sin(u).4. The sum rule: ∫f(x)±g(x)dx=∫f(x)dx±∫g(x)dx....
int xsin2x dx 01:37 int (2+3x)cos6x dx 02:38 int sec^3 x tanx dx 01:41 Evaluate the following integrals: int sin5x sin3x dx 01:27 int xsec^2 x dx 02:06 int xsin(x/4)cos(x/4)cos(x/2)dx 04:14 int xsin(x/2)cos(x/2)cosx dx 04:19 int xtan^2 x dx 02:27 ...
Evaluate int0^1(2x+3)/(5x^2+1)dx 06:31 int(0)^(1)x e^(x^(2)) dx 02:37 Evaluate :int1^2 (5x^2)/(x^2+4x+3) dx 07:00 Evaluate the definite integrals int0pi/4(2sec^2x+x^3+2)dx 03:05 Evaluate the definite integrals int0^(pi)(sin^2(x/2)-cos^2(x/2))dx 01...
相关知识点: 试题来源: 解析 选A∵-定$$ - \frac{1}{2}\cos 2x $$的导函数是sin2x ∴$$ \int \sin 2xdx=- \frac{1}{2}\cos 2x+c $$ 反馈 收藏