Letu=cos(x), thendu=−sin(x)dxor−du=sin(x)dx. The integral becomes: This evaluates to: 5.Combine the results: 6.Final result: cos3(x)3−cos(x) Integral Calculatorcomputes an indefinite integral (anti-derivative) of a function with respect to a given variable using analytical int...
求不定积分Integral of (a*sinx + b*cosx)/(c*sinx + d*cosx) dx(sinx)'=cosx (cosx)'=-sinx,在导数里,是2个非常友好的函数,本题的分子分母结构一样,只是系数不同,可以利用这个条件,用待定系数的方法,将被积函数分解成2个容易积分的函数,求解出答案。, 视频播放量
Evaluate integral from 0 to x of sin(t^2) with respect to t( (∫ )_0^x(sin)(t^2)dt) 相关知识点: 试题来源: 解析 ( (∫ )_0^x(sin)(t^2)dt) is a special integral. The integral is the Fresnel integralfunction.( S(t)]_0^x)Substitute and simplify.( 0)反馈 收藏 ...
Computing the integral of log(sinx)log(sinx) (11 answers) Closed 4 months ago. So I've had a few attempts at this this integral, but they all seem to get different answers to wolframalpha. This is my working out: I=∫ln(sin(x))dxI=∫ln(eix−e−ix2i)dxI=∫ln(eix...
=x1(−cos(xt)) Simplify=−x1cos(xt) Add a constant to the solution=−x1cos(xt)+C Popular Examples Frequently Asked Questions (FAQ) What is the integral of sin(xt) ? The integral of sin(xt) is -1/x cos(xt)+C...
Integral of sin(x/2) by x: -2*cos(x/2)+C −2cos(x2) Integral Calculatorcomputes an indefinite integral (anti-derivative) of a function with respect to a given variable using analytical integration. It also allows to draw graphs of the function and its integral. Please remember that ...
Therefore, the integral of sin(x) is cos(x) +C. What is the antiderivative of cos(x)? The antiderivative of cos(x) can be found using the Fundamental Theorem of Calculus. We need a function that has the derivative cos(x), and we know that this function is sin(x), so the ...
$$\int\sin\theta\ln(\cos\theta)\ d\theta $$ Substitution Method in Integration: Two useful methods in integration are operated to evaluate the given Indefinite integral. One is the substitution method and another is the product rule of integration. The final answer for this integral is ...
fun = @(x)sin((1:5)*x); q = integral(fun,0,1,'ArrayValued',true) q =1×50.4597 0.7081 0.6633 0.4134 0.1433 Improper Integral of Oscillatory Function Create the functionf(x)=x5e−xsinx. fun = @(x)x.^5.*exp(-x).*sin(x); ...
Evaluate the indefinite integral of (dx)/((x^2)(sqrt(81-x^2))) Evaluate. (a) integral e^{6x} sin(5x) dx. (b) integral x^2 e^5x dx. (c) integral x e^{4x} dx. Evaluate the integral \int\frac{9(1-tan^{2}x)}{\sec^{2}x}dx ...