对此函数求积分 abs(sin(x)) 自变量为 x 区间[0,1] = 0.459697694132 绘制该函数的图像 编辑该公式 本页链接 定积分计算器 可以用数值积分的方法，计算出一个函数在确定积分区间上的定积分。

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2019年4月4日 · I want to show that $\int_0^\infty |\frac{\sin(x)}{x}|dx=\infty$. I thought it would work out by using the power series of the sine but I'm just not getting the endresult. Could someone please hel...

The function $x\mapsto f(x):=|\sin x|$ is even and $\pi$-periodic; therefore $f$ has a Fourier series of the form $$f(x)={a_0\over2}+\sum_{k=1}^\infty a_k \cos(2kx)$$ with $$a_k={2\over\pi}\int_0^\pi f(x)\cos(2k x)\ dx={2\over\pi}\int_0^\pi \sin x\cos(2k x)\ dx\ .$$ It follows that $$\eqalign{a_k&={1\over\pi}\int_0^\pi\left(\sin\bigl((1+2k)x ...

2019年6月26日 · I know form wolfram alpha: https://www.wolframalpha.com/input/?i=integral+of+abs(sin(x)) that the integral is $-\cos(x)\text{sgn}(\sin(x))$ where sgn$(x)$ is the sign of x, sgn function explained o...

x^2: x^{\msquare} \log_{\msquare} \sqrt{\square} \nthroot[\msquare]{\square} \le \ge \frac{\msquare}{\msquare} \cdot \div: x^{\circ} \pi \left(\square\right)^{'} \frac{d}{dx} …

2012年12月30日 · 展开成傅立叶级数abs(sinx)为偶函数。 f(x)=1/2A0 + sum{An cosnx}。 A0=(2/pai) ∫ [0,pai] sinx=2/pai，An=(2/pai) ∫ [0,pai] sinxcosnx自己算吧

Definite Integral Calculator computes definite integral of a function over an interval using numerical integration. Definite integral could be represented as the signed area in the XY-plane bounded by the function graph as shown on the image below.

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