Chứng minh rằng ∫ sin^3x dx = (cos^3x / 3) - cosx + C.

d/dx(4 sin (3x)). = 4d/dx(sin (3x)). = 4 × 3 cos (3x)). = 12 cos (3x)). (c)y = e−2x. Solution: To differentiate the given function with respect to x we need the ... I have found the correct answer by using the golden ratio, but how to get the answer from the first part I do not know. I thought that this would be a simple ... Nov 2, 2016 ... sin(3x) + sin(x) = sin(2x + x) + sin(2x - x) = [sin(2x)*cos(x) + sin(x)*cos(2x)] + [sin(2x)*cos(x) - Nov 23, 2023 ... ... sin(3x) + 4 sin(4x), x ∈ [0,π]. (b) ... sin(3x)+4e−16t sin(4x). (b) Assume that u(x, t) = T(t)X(x), for some functions X and T yet to ... (a) — e²™ sin(3x). (b) - 6e²* sin(3x). (c) e²™ ( − 3sin(3x) + 2 cos(3x)). (d) e²x ( — 2sin(3x) + 3 cos(3x). (e) e²x ( − sin(3x) + cos(3x)). 2. Page 3 ... ... sin(3x)dx. (f). ∫ 2. 1 x3 lnx dx. Hint: Try integration by parts. 2. Compute ... sin(3x) + C. (f) Integration by parts. Answer: ∫ 2. 1 x3 lnx dx = 1. 4 x4 ... May 29, 2020 ... + = { sin (3x) e + 3 sin (3y) d}. Page 14. Example: BM in (0,∞) (killed). From. 2. P₂ (x,y) = & } sin (3x) e + + 3² xin (3y) d}. Pt now. On : +. A trigonometric identity for sin(3x) is . This identity comes from the following well-known trigonometric identities. I(x) =e=sin3x b. I(x) =31n(cosx)+arctan(2x2). Page 2. 3. Find the equation of the line ... = )e-x ( 7, cos 3x - Sio1 3") b. f(x) =31n(cosx) ...aretan(2x2). x sin(3x) dx. 59. Z x2 ln x dx. 60. Z ex sin x dx. 61. Z cos2 x dx. Use ... x sin(3x) dx = -. 1. 3 x cos(3x) +. 1. 9 sin(3x) + C. 59. Z x2 ln x dx = 1. 3 x3 ...