Khi nào thì sử dụng công thức tan x/2?

b) By substituting v = sec x. c) Compare the two results. Solution a) Compute tan x sec 2 x dx by substituting u = tan ... Feb 10, 2025 ... tanx, = ∞∑n=1(−1)n−122n(22n−1)B2nx2n−1(2n)! = x+x33+2x515+17x7315+⋯. where B2n denotes the Bernoulli numbers. This converges for |x|<π2. Apr 19, 2023 ... We find the derivative of tanx^2 with the chain rule, tan^2x with the chain rule, and tan2x also with the chain rule. ... (x2) + x2 * 2x * sec2(x2). The whole derivative: f'(x) = (2x * tan(x2) + ... x2 * 2x * sec2(x2)/(x2 * tan(x2)). The first simplifies to 2/x. The second is ... (c) Find the volume of the solid generated when S is revolved about the x-axis. Point of intersection. 3. 2 tan x x. c.) F'(x) = In (tanx). sec² (lnx). - tan(lnx). tanx sec²x. X. [en (tanx)]². VX-1 d.) F'(x) = 0 lenx e.) F'(x) = e соех. +) F'(x) = cos. ((√x-1)² + 1) ⋅ 2 √ ... Detailed step by step solution for tan(x)= 1/(sqrt(2)) Sep 27, 2023 ... cos x = (1 - tan^2 x/2)/(1 + tan^2 x/2). Upvote ·. Related questions ( ... Feb 3, 2019 ... The tangent function diverges to infinity quite quickly at multiples of pi/2, which means you're missing a lot of the interesting behavior by plotting the full ... Z π/2. 0 sec x dx = lim. C→(π/2)− ln|sec x + tan x|. C. 0. = lim. C→(π/2)− ln |sec C + tan C|=∞. This integral diverges to infinity. Page 3. 38. Since 0 ≤ 1 − ...