(a) \int_{0}^{1} (3x^3-5) cosx dx (b) \int_{0}^{e-1} ln(x+1) dx Evaluate the indefinite integral. Integral of (cos x)/(sin^2 x) dx. Evaluate the indefinite integral. (Use C for the constant of integration.) Int
Evaluate the indefinite integral of sqrt(48+2x-x^2) Evaluate the indefinite integral: \int\cos^{5}(2x)\sin(2x)dx Evaluate the indefinite integral: \int e^x \cot(e^x) dx. Evaluate the indefinite integral: sqrt(sin(x-a)/sin(x+a)) Evaluate the indefinite integral . \int_{0}...
(1)xe^x-e^x+c(2)-xcosx+sinx+c(3)1/3x^3lnx-1/9x^3-c(4)-1/3πccos3x+1/9sin3x-c(5)1/2xsin2x⋅|1/4cos2x|c(6)xtanx+ln(cosx)+c(7)xlnx-x+c(8)x(lnx)^2-2xlnx+2x+c(9)αarctana1/2ln(a^2)1e 结果一 题目 Use integration by parts to find the integral ...
int e2x sin 5x dx A. 1/29 e2x (2sin5x - 5cos5x) + C B. 1/29 e2x (2sin5x - 5cos2x) + C C. 1/29 e 2x (2sin5x - 2cos5x) + C D. 1/29 e2x (2sin5x - 2cos2x) + Cfind the integral: \int e^{2x} sin ...
What is the integral of (\sin x + \cos x)^2 from -\pi to \pi? What is the integral 7x^9/25+x^{10} dx? Evaluate the integrals. A) Integral of (dx)/(2*sqrt(x) + 2x). B) Integral of tan(x) ln(cos(x)) dx. What is the antiderivative of the integral of x^(-1/2)...
67. Show that the average value of sin2tsin2t over [0,2π][0,2π] is equal to 1212. Without further calculation, determine whether the average value of sin2tsin2t over [0,π][0,π] is also equal to 1212.68. Show that the average value of cos2tcos2t over [0,2...
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
Here the mistake lies in the substitution "tan"1/2x=t, because "tan"1/2x is discontinuous at x=pi which is a point in the interval [0,2pi].
f(x)=(cosx)/([(2x)/pi]+1/2), where x is not an integral multiple of pi and [dot] denotes the greatest integer function, is an odd function an even function ne
1.(i)Findtheindefiniteintegral tanxdx. Hint:Usetanx= sinx cosx andsubstituteu=cosx. (ii)Usetwointegrationbyparttofindtheindefiniteintegral x 2 e x dx. PracticeQuestions 2.Evaluatethefollowingintegralsbyusingintegrationbyparts. (i) 1/2 0 xe 2x dx.(ii) π/4 0 θsin4θdθ.(iii)...