展开阅读全文 评论 UP主投稿的视频 热门评论(6) 按热度 请先登录后发表评论 (・ω・) 表情 发布 iEaTth3F00d NO.006009 2022年2月20日 其实用万能公式也可以 5 -蛮头- :但是会有些麻烦…而且结果也不是十分好看 Jouska-Morri 2022年2月25日 考研人表示一眼就来答案了 1 雪落满南山__ 2...
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
Use integration by parts to find the integral of:[Hint: In (7) write lnx as 1lnx and in (9) write arctanxdn as 1arctanax.](1)xe^x(2)xsinx(3)x^2lnx(4)xsin3x(5)xcos2x(6)xsec^2x(7)lnx(8)(lnx)^2(9)arctanxdn ...
t2=sinx⟹2tdt=cosxdx⟹dx=2tcosxdt.We also need to express cosx in terms of t:cosx=√1−sin2x=√1−t4.Substituting these into the integral gives:I=∫√1−t4tet⋅2t√1−t4dt.This simplifies to:I=2∫etdt. Step 3: IntegrateNow we can integrate:I=2et+C. Step 4: ...
(Use C for the constant of integration.) \int \frac{dx}{\cos^{2}(x)\sqrt[3]{1 + \tan(x) Solve the integral using u = tan(x), ∫ 2 tan(x) sec^2 (x)dx What is the integral of cosx^3 sinx^8 dx [write cosx^3 as cosx(1-sinx^2)] Find the indefinite integral of...
55. f(x)=sinx,a=0,b=2πf(x)=sinx,a=0,b=2π56. f(x)=cosx,a=0,b=2πf(x)=cosx,a=0,b=2π Show Solution In the following exercises, approximate the average value using Riemann sums L100L100 and R100R100. How does your answer compare with the exact given answer?
What is the integral of cosx^3 sinx^8 dx [write cosx^3 as cosx(1-sinx^2)] Find the indefinite integral S(x - 6x^{14} + \frac {1}{8x}) dx Find the indefinite integral: int (x-5x^4 + 1/2x) dx Find the indefinite integral: 1/x ln(x^3) dx Find the indefinite integral:...
Another example,the sine and cosine curves intersect fromx=π/4to x=5π/4.However,we want to find the area of the region bounded by the sine and cosine curves fromx=0to x=2π.Analysis:Let f(x)=sinx,and g(x)=cosx.Let f(x)=g(x),and find xin sinx=cosxas x∈[0,2π] x=...
Again, people memorize that the antiderivative of cosx is sinx. What's the antiderivative of tan? tan x = - ln|cos x| + C. What are the applications of derivatives? Applications of Derivatives in Maths Finding Rate of Change of a Quantity. Finding the Approximation Value. Finding the ...
对积分Ι=integral from n=0 to +∞((sinx/x)dx)=π/2的计算方法进行深入研究,从多种渠道得出这一结果,值得注意的是本文应用了Fourier积分变换的对偶性质,巧妙而不失优美地给出了一个新方法,同时还得到一个新的收敛积分:integral from n=0 to +∞((sinx/x)~2dx)=π/2.关键...