2. This integral is known as the Sine Integral, denoted as Si(x).3. The Sine Integral is defined as: Si(x)=∫x0sin(t)tdt4. Therefore, the indefinite integral can be expressed in terms of the Sine Integral function: ∫sin(x)xdx=Si(x)+C where C is the constant of integration....
不定积分计算器可以用分析整合的方法,计算出一个给定变量的函数的不定积分(原函数)。它也可以画出函数和它的原函数的图像。请注意,计算的不定积分属于一类函数F(x) C,其中C是任意常数。不定积分计算器解析表达式,应用积分法则并化简最终结果。因此,积分计算的最终结果可能与常数的预期结果不同。
1.Use a Trigonometric Identity: Recognize thatsin(x)cos(x)can be rewritten using the double angle identity: 2.Set Up the Integral: Rewrite the integral: 3.Factor Out the Constant: Factor out the12: 4.Integrate: The integral ofsin(2x)is: ...
第一个注意到分母可以变成【3+cos(2x)】/2而正好sin(2x)dx=-dcos(2x)/2题目就转化为-∫dcos(2x)/【3+cos(2x)】 2022-01-23 12:134回复 晓之车高山老师 其实up表达的意思就是,被积函数某个地方稍有改动,对应不定积分表达式就可能有很大的变化,甚至完全不同 2022-01-24 03:072回复 QNのstarlake up主...
\int\frac{\sin(x)}{x}dx=\operatorname{Si}(x)+C 其中\operatorname{Si}(x)是Sine Integral函数，它可以用积分形式定义为：\operatorname{Si}(x)=\int_0^x\frac{\sin(t)}{t}dt Sine Integral函数是一个特殊函数，它在数学和物理中都有广泛的应用。如果我们要求解\int \frac{x^2}{\sqrt{1-x^...
Answer to: Find the integral. \\ \int e^x\sin x dx By signing up, you'll get thousands of step-by-step solutions to your homework questions. You...
Misal u=e^x dan dv=sinxdxDengan demikian, diperoleh du=e^xdx dan v=-cosx.∫_0^1alne+x+1/(e^x+2x+e)dx+cosdx+sinxdxBentuk integral tersebut kita teruskan untuk menyelesaikannya.Kita misalkan lagi u=e^x dan dv=cosxdx sehingga diperoleh du=e^xdx dan v=sinx.∴(-1,+∞)Ternyat...
Answer to: Evaluate the integral: integral sin(square root x) dx / square root x. By signing up, you'll get thousands of step-by-step solutions to...
I=2∫10xarcsinx1−x4−−−−−√dx=∫10(arcsin2x)′x1+x2−−−−−√dxI=2∫01xarcsinx1−x4dx=∫01(arcsin2x)′x1+x2dx =π28−∫10arcsin2x(1+x2)3/2dx=π28−∫01arcsin2x(1+x2)3/2dx We can expand into power series the integral, we...
fsin(x)的值就是sinx的值。因此通过调用integral函数求出了sinx的定积分。求其余两个函数定积分的情况与此类似。#include #include main(){float integral(float (*p)(float),float a,float b,int n);float a1,b1,a2,b2,a3,b3,c,(*p)(float);float fsin(float); /*声明fsin函数*/float fcos(float...