Áp dụng công thức cos^2x = (1+cos2x)/2.

/2cos(x)sin(x)¡2 dx,. 4. R2. 3. (x2 +2x)exp(x)dx. Exercice 7. Soit f :R>0!R une fonction continue et pour tout x2R>0, on a limn!1 f(nx)=. 0. Montrer que limx!+1. 3. Find the Taylor series for the function x4 + x 2 centered at a=1. Solution f (x) = x4 ... use (1,2) to. ✓ find Č y = x² + 3x + c = 2 = (1)² + 3(1) + C. Page 3. 4. For what value of k, if any, will y = k sin(5x) + 2 cos(4x) be a solution to the ... b) x(2 − x)e−x c) 5e−2x(3 cos 3x − 2 sin 3x) d). 3. 2 x−1/2(cos 2x − 4xsin 2x) e) 2x5(1 + x)4(6 + 11x) f) −x−3((1 + x2)−1/2(2 + x2) g) ex[(1 + x) sin x + cosx]. Giải Phương trình: sin5x + 2cos^2x = 1 · Thực hiện phép chia: a) (x^4 + 6x^2 + 8) : (x^2 + 2 · Phân tích đa thức thành nhân tử: x^4 + x^2 + 1... · Liệt kê tất ... Then. Z x sin(x2) dx = Z. 1. 2 sin u du = 1. 2(-cos u) + C = -. 1. 2 cos(x2) + C. Now. Z 4. 2 x sin(x2) dx = -. 1. 2. cos²x + (1+sinx) ((trinx). (1+sim) corx ccs²x²+sin²x ... 2 cos 20 = 1-2 sin 0 in the interval 0 ≤ 0< 360°. 3. Ces 20 = 1-2 sin @. -. 2(1-2 sin² ©) = 1-2 sin @. 1. Solve sin 2θ − cosθ = 41​ for θ and write the values of θ in the interval 0 ≤ θ ≤ 2π. · 2. Find the number of solutions of tanx + secx = 2cosx in [0, 2π]. · 3. LHS=cos 2xcos\ x/2-cos 3x cos\ (9x)/2 =1/2[2cos 2xcos\ x/2-2cos 3x cos\ (9x)/2] =1/2[cos(2x + x/2)+cos(2x - x/2)-cos((9x)/2+3x)-cos((9x)/2-3x)] =1/2[cos\ ... Find all the solutions, in the interval 0 < x < 2π, of the equation. 2 cos2x+1=5 sin x, giving each solution in terms of π. Identity sin²+ cos²x.