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: ...
如果我们要求解\int\frac{\sin(x)}{x}dx，这个积分是比较经典的积分，也称为“无穷小量的积分”。这个积分并没有一个标准的、封闭形式的表达式，但是它的结果可以表示为特殊函数——Sine Integral函数。要求解这个积分，我们可以采用不同的方法。其中一种常用的方法是将被积函数在x=0处进行泰勒展开，然后利用幂...
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...
Answer to: Solve: integral ln (x) sin (x) dx By signing up, you'll get thousands of step-by-step solutions to your homework questions. You can also...
0 Integrate I=∫∞0xneax+bxcos(cx)dxI=∫0∞xneax+bxcos(cx)dx? 3 Integral of Gradshteyn and Ryzhik: ∫∞0ln(1+2e−xcost+e−2x)dx=π26−t22∫0∞ln(1+2e−xcost+e−2x)dx=π26−t22 5 definite integral solution for ∫παPn(cosθ)Pm(cosθ)sinθd...
Integral∫ sinxdx= - cosx+C Euler's formulasinx= (eix-e-ix) / 2i Inverse sine function Thearcsineof x is defined as the inverse sine function of x when -1≤x≤1. When the sine of y is equal to x: siny=x Then the arcsine of x is equal to the inverse sine function of x,...