{eq}\displaystyle \int\ln f(x)dx=\frac{f'(x)}{f(x)}+c\\ \frac{d}{dx}\cos x=-\sin x\\ \int x^n=\frac{x^{n+1}}{n+1}+c\\ {/eq} c is constant of integration. Answer and Explanation: Given integral is : {eq}\displaystyle I= \int \ln (\cos x)\cot x \ ...
Answer to: Find the indefinite integral. Integral (tan x) (ln(cos x)) dx By signing up, you'll get thousands of step-by-step solutions to your...
（u=x2,dx=2du）∫12sin(x2)cos(x2)dx=∫1sin(u)cos(u)du=∫sec2(u)...
I=ln(x)(−1x)−∫(−1x)(1x)dx - Simplifying gives: I=−ln(x)x+∫1x2dx 3. Evaluate the Remaining Integral: - We know that: ∫1x2dx=−1x - Substitute this back into the equation: I=−ln(x)x−1x+C 4. Combine Terms: - Combine the terms to get: I=−1+...
(a)limx→∞cos(1/x)(b)limx→0esinx(c)limx→0tan(7x)sin(3x) Limits and Continuity The idea of limits is central to all of calculus. For example, the derivative is defined using a limit, and the...
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1/sinx)然后推出lnsinx绝对值?∫csc(x)dx=∫1sin(x)dx=∫12sin(x2)cos(x2)dx...
Different way∫0∞e−2x1+cosh(x)lncosh(x)dx https://math.stackexchange.com/q/2835466 LetIdenote the integral. Then applying the substitutionu=e−xfollowed by integration by parts, \begin{align*} I &= \int_{0}^{1} \frac{2u^2}{(1+u)^2} \log\left(\frac{1+u^2}{...
On three trigonometric integrals of ln Γ(x) or its derivative - KOLBIG - 1994 () Citation Context ...he integral ∫ 1 ln Γ(q) cos((2n + 1)πq)dq = 2 π2 ( γ + 2 ln √ 2π + 2 (2n + 1) 2 A + lnn n 2−z = Aζ(2 − z) − ζ′ (2 − z) ∞∑ ...
代数输入 三角输入 微积分输入 矩阵输入 loge(cosh(x)) 求值 ln(cosh(x)) 关于x 的微分 cosh(x)sinh(x) 图表 测验 Trigonometry ln(coshx) 共享 复制 已复制到剪贴板