Integration is the union of elements to create a whole. Integral calculus allows us to find a function whose differential is provided, so integrating is the inverse of differentiating. It defines and computes the area of a region constrained by the graph of a function.

f(x)=x^3 ; prove\:\tan^2(x)-\sin^2(x)=\tan^2(x)\sin^2(x) \frac{d}{dx}(\frac{3x+9}{2-x}) (\sin^2(\theta))' \sin(120) \lim _{x\to 0}(x\ln (x)) \int e^x\cos (x)dx \int_{0}^{\pi}\sin(x)dx

2016年3月13日 · $$\int \frac{\cos(x)}{x} \, dx $$ I tried to do partial integration but it became to an infinite loop of partial integrations

2016年5月22日 · What is the integral of ∫ cos x x dx? This is one of those integrals that can't be done in terms of elementary functions. You can do it in terms of infinite series; and you can use various numerical methods to do the definite integral. The Taylor series expansion of cos(x) is. cos(x) = 1 − x2 2! + x4 4! − x6 6! +...

使用通用整型表中的 \int \cos(x)\mathrm{d}x=\sin(x) 来获得结果。 \sin(x)+С 如果 F\left(x\right) 是 f\left(x\right) 的就，则 f\left(x\right) 的所有 antiderivatives 的集合都由 F\left(x\right)+C 提供。

The Integral Calculator lets you calculate integrals and antiderivatives of functions online — for free! Our calculator allows you to check your solutions to calculus exercises. It helps you practice by showing you the full working (step by step integration). All common integration techniques and even special functions are supported.

计算器使用以下方法对函数进行积分：替换、有理函数和分数、未定义系数、因式分解、线性分数无理性、部分积分、欧拉代换、微分二项式、模积分、积分函数、幂、三角、双曲 转换和分组。

Use \int \cos(x)\mathrm{d}x=\sin(x) from the table of common integrals to obtain the result. \sin(x)+С If F\left(x\right) is an antiderivative of f\left(x\right), then the set of all antiderivatives of f\left(x\right) is given by F\left(x\right)+C.

4 天之前 · 一、引言. 高考的比大小题目中，除了 e^x 和 \ln{x} ，出现较多的就是 \sin{x},\cos{x},\tan{x} 这几个 三角函数 。 导数大题中，也有可能出现这些函数。因此，我们需要研究这几个函数的性质，其中， x\in(0,\frac{\pi}{2}) 是研究这几个函数性质的重要区间。 根据三角函数的 周期性 和 对称性 ，其他区间上的 ...

Use \int \cos(x)\mathrm{d}x=\sin(x) from the table of common integrals to obtain the result.