In calculus, indefinite integration is also known as antidifferentiation and it is the inverse process of differentiation. The notation of an indefinite integral is ∫f(x)dx, where f(x) is called the integrand. Some integral formulas used in this problem are as below: ∫cos(ax)...
Use the half-angleformula to rewrite ( ((sin))^2(t)) as ( (1-(cos)(2t))2).(∫ (1-(cos)(2t))2dt)Since ( 12) is constant with respect to ( t), move ( 12) out of the integral.( 12∫ 1-(cos)(2t)dt)Split the single integral into multipleintegrals.( 12(∫ 1dt+∫...
Rewrte using u and du.(3-(2)-( 1/2t^2+C)-1/2fs()u)Simplify.)-(+)-)Siceis constant wit respet to u, move六out of the integral.(+c)-(/n())Simplify.-)((+)-sn)duT he integral of sin(u) with respect to u is-cos(u).(5-()-(5(+C)-5(cs)+C)Simplify.t-sn2)t4...
Evaluate the following integral: \int_{1}^{4} 2t^{3/2}i + (t+1)\sqrt{t}\:k \; dt. Evaluate the following integral. \int {dx} \over {4 + 2\sin x} Evaluate the following integral: \int\cos^3 (1 - 3t) dt Evaluate the following integral: integral_1^4 (x^2 +...
Integral of (dt)/(sqrt(t^2 - 6t + 13)). Evaluate the integral: integral 6 e^6t/e^12t + 13 e^6t + 40 dt Evaluate the integral. Integral of sin^5(2t) cos^2(2t) dt. Evaluate the integral. Integral from 0 to t of 3e^s sin(t - s) ds. Evaluate the indefinite int...
Evaluate the integral of (x + 1) sqrt(2x + x^2) dx. Evaluate the integral. \int_{0}^{1} ((6te^{7t^2})i + (e^{-2t})j + (6)k) dt Evaluate the integral. \int_0^5 e^{-3x} dx. Evaluate the integral. \int 7\cot^5(\theta) \sin^4(\theta) d\theta Evaluate the...
百度试题 结果1 题目Evaluate the line integral, where C is the given curve.C,C: x=t, y=cos 2t, z=sin 2t, 0≤q t≤q 2π 相关知识点: 试题来源: 解析 0≤q t≤q 2π . Then 0≤q t≤q 2π 反馈 收藏
(4.39) Finally, we parametrize the vielbeins in terms of the length vectors of the two cycles as fµa = 1 s Laµ, eaµ = 1 s L¯ aµ , (4.40) which in turn can be parametrized in the following way L¯11 = seΩ cos φ L¯12 = seΩ sin φ L¯21 = se...
Integrate: integral (sec x + tan x)(1 - sin x) dx. Integrate: Integral of (9x^2 + 20x - 1)/((9x^2 - 1)(x^2 + 1)) dx. Integrate integral 1 0 ( 3 x 3 - 5 ) cos x d x Integrate: the integral of sin(theta) ln(cos(theta)) d(theta). ...
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