Answer to: Find \int ln(x) dx. By signing up, you'll get thousands of step-by-step solutions to your homework questions. You can also ask your own...
Integrate: ∫xexdx Integration: For any two functions f(x) and g(x), the integration by parts rule is defined as follows ∫f(x) g(x) dx=f(x)∫g(x) dx−∫(ddx(g(x) ∫g(x) dx) dx Also, note that in the integration by parts rule, use the ILATE concept while taking...
试题来源: 解析 $$ \int(nxdx=x \ln x- \int x(\ln x)^{\prime}dx \\ =x \ln x- \int dx \\ =x \ln x-x+c $$ 结果一 题目 5.∫inxd=() 答案 Jin方dy=方n》-(nyd 二ny-了d =lny-为(相关推荐 15.∫inxd=() 反馈 收藏 ...
解析 ∫ln x\,dx = xln x - x + C 本题使用分部积分法求解。令 u = ln x,dv = dx,则 du = 1/xdx,v = x。根据分部积分公式,原式可化为: ∫ln x\,dx = xln x - ∫ x⋅1/xdx = xln x - ∫ dx = xln x - x + C。 因此,∫ln x\,dx = xln x - x + C。
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12.∫ln(tanx)dx12.\int_{}^{}ln(tanx)dx 值得注意的是,其中的一些不定积分若是改成定积分便可求出。 因此,做题时,千万不可随意修改定积分为不定积分。 四,换元法 (一)第一类换元法 设f(u)f(u) 有原函数, u=φ(x)u=\varphi(x) 可导,则有 ∫f[φ(x)]φ′(x)dx=[∫f(u)du]u=φ(...
∫x(logx)2dx View Solution ∫[logx−11+(logx)2]2dx = View Solution Exams IIT JEE NEET UP Board Bihar Board CBSE Free Textbook Solutions KC Sinha Solutions for Maths Cengage Solutions for Maths DC Pandey Solutions for Physics HC Verma Solutions for Physics ...
\\ = \frac { 1 } { 2 } x ^ { 2 } \ln x - \frac { 1 } { 2 } \int x d x = \frac { 1 } { 2 } x ^ { 2 } \ln x - \frac { 1 } { 4 } x ^ { 2 } + C . $$ 结果一 题目 求∫xlnxdx 答案 解∫xlnxdx=∫lnxd(x^2)/2=1/2x^2lnx-∫((x^2)/2)...
百度试题 结果1 题目3. 不定积分$$ \int \ln x d x = \_ $$ 相关知识点: 试题来源: 解析 $$ \int1n \times dx=x \ln x- \int x \cdot \frac{1}{x}dx \\ =x \ln x-x+c $$ 反馈 收藏
{eq}\int \ln (\cos x)\cot x dx {/eq} Indefinite integrals Integeation in which the limits of integration are not defined is called as infefinite integration. Application of integrals include finding area ,volume ,area of revolution etc. Basic formulae used: {eq}\displaystyle \int\...