Các câu hỏi tư duy, suy luận liên quan đến cos^3x? cos^3x

(d) cos(3x)sin(3x)dx. ∫ . 5. Evaluate the integral. 0 exp(2sin )cos x x dx π. ∫ . 6. Evaluate cos(2 ) x x dx π π-. ∫. Expression 1: "f" left parenthesis, "x" , right parenthesis equals cosine left parenthesis, 6 "x" , right parenthesis Has graph. To audio trace, press ALT+T ... ... by substitution: (a). Z x3 p x2 +2dx. (b*). Z x2 cos (x3)dx. (c). Z 1 x2 sin. 1 x dx. (d). Z cos(3x − 7) dx. (e). Z e√ x. √ x dx. (f*). Z e(x+ex) dx (use u = ex). ... cos(3x – 5x) + cos(3x + 5x)] cos 3x cos 5x = ½ [cos(–2x) + cos(8x)]. Apply the even/odd identity for cos (-x) cos (-x) = cos x cos 3x cos 5x = ½ [cos 2x + cos ... ... (cos x + α cos (3x/4)). - 8 (cos (x/2) + a cos (x/4))]/α:2. - -^-[1 - cosx + 2(1 ... Similarly, 1 - cos (3x/4)τ/cos (x/2) ^ 1 - (cos (5a/4) + cos (a/4))/2 ... Jul 8, 2020 ... Jamia 2013: The value of the expression ( sin 3x/1+ cos x)+( cos 3x/1- sin x) is/are (A) √2 cos ( (π /4)-x ) (B) √2 cos ( (π /4)+x ) (C) √2 ... cos (5πx) cos (30πx) dx? Solution. •(a) The function cos(kx) has period ... cos 3x ). 1. 52 cos 5x ). 1. 7 2 cos 7 x ) ...2 . Apply P arseval s theorem to ... Ex 5.7, 7 Find the second order derivatives of the function e^6x cos⁡3x Let y = e^6x cos⁡3x Differentiating w.r.t.x . dy/dx = (d(e^6x " " cos⁡3x))/dx dy/dx ... COS 3x. X+0. (a) lim x+0 sin 3x. 4. 3x + 2. (e) lim x(1. -. COS. ) (1). 004X lim x+3 ... cos 3x. = sin x + cos x. 3.2.3. Let f(x). = sin2x and g(x). 3.2.4 a. b. If ∫sinxsin3x+cos3xdx=αloge|1+tanx|+βloge|1−tanx+tan2x|+γtan−1(2tanx−1√3)+C, where C is constant of integration, then the value of 18(α+β+γ2) is · | · | · | · | ...