Answer to: Evaluate the integral: integral of e^(7x) cos(5x) dx. By signing up, you'll get thousands of step-by-step solutions to your homework...
We evaluate the definite integral {eq}\displaystyle \int_{a}^{b}f(x) \, \mathrm{d}x {/eq} using the fundamental theorem of calculus, which calculates a function's antiderivative at the integral limits and determines their difference. ...
68. Show that the average value of cos2tcos2t over [0,2π][0,2π] is equal to 1/21/2. Without further calculation, determine whether the average value of cos2(t)cos2(t) over [0,π][0,π] is also equal to 1/21/2. Show Solution 69. Explain why the graphs of a...
Evaluate the integral: integral {cos x} / {sin^3 x - 4 sin x} dx. Evaluate the integral: integral dx / {9 - 196 x^2}. Evaluate the integral: integral {4 x^2 - 3 x + 2} / {x^3 - x^2 - 2 x} dx. Evaluate the integral: Integral of (x - 4)/(x^2 - 5x + 6) ...
We also get a constant of integration after solving the indefinite integration. Answer and Explanation: {eq}I=\int\sin^{5}2t\cos^{2}2tdt\ 2t=u\ I=\frac{1}{2}\int \sin^4u \cos^2u \sin udu\ =\frac{1}{2}\int(1-\cos^{2}u)^2\cos^2u \sin u du\ \cos......
J1=∫01x2(2+3x)(1+x)1−x dx=1−x→x2∫01(1−x2)2(5−3x2)2−x2 dx=2∫01(3−5x2+3x4−12−x2)dx=5815−2ln(2+1), and J2=∫01x3(4+3x)lnx(1+x)1−x2 dx=x→sinx∫0π2sin3x(4+3sinx)lnsinx1+sinx dx=∫0π2ln...
Integral formulas are listed along with the classification based on the types of functions involved. Also, get the downloadable PDF of integral formulas for different functions like trigonometric functions, rational functions, etc.
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Least integral value of x satisfying the inequation (x^(2)+1)<(x+2)^(2... 03:38 If 0<a<5,0<b<5 and (x^(2)+5)/(2)=x-2cos(a+bx) is satisfied for at leas... 03:32 The least integral value alpha of x such that (x-5)/(x^2+5x -14) >0, ... 07:47 Number ...
百度试题 结果1 题目Find the indefinite integral.∫cos^5xsin xdx 相关知识点: 试题来源: 解析 -16cos^6x+C 反馈 收藏