Xét tính đơn ánh và toàn ánh của hàm số f(x) = sin^3x trên các tập xác định khác nhau.

Nov 12, 2023 ... sin 2 (3x) = (sin(3x)) 2 ≠ sin(3x 2 ) Writing it as sin3x 2 would make it look like you're only squaring the x. sin 3x. 2x. Example. Find lim x→0 cos ax − cos bx x2. Tools: cos x − cos ... sin 3x − sin x. , lim x→0. 1 − cos x x tan x. 33 / 34. Page 34. summary. (one ... inverse f ( x )=sin(3 x ) Solution arcsin( x ) 3 Show Steps Solve instead domain sin(3 x ) range sin(3 x ) periodicity sin(3 x ) Graph Plotting: sin(3 ... sin(3x)/x: lim x→0 sin(3x). 5x3 − 4x. = lim x→0 sin(3x) x(5x2 − 4). = lim x→0 sin(3x) x. ·. 1. 5x2 − 4. = lim x→0. 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 ... Jan 1, 2021 ... olution: We have VV​=πr2h,r=0.5 m,dtdV​=1060.25​ m3/min=π×0.25×h⇒dtdV​=π×0.25×dtdh​⇒1060.25​=π×0.25×dtdh​⇒dtdh​=106π1​ m/min​ imple 26 The ... 3x dx. ∫. ;. (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. Prove that: sin x + sin 3x +sin 5x + sin 7x = 4 cos x cos 2x sin 4x. 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 ... Mar 8, 2005 ... sin(A) sin(B) = 1. 2 [cos(A − B) − cos(A + B)] cos(A) cos(B) = 1 ... (9 points) Evaluate the integral: ∫ e5x sin(3x)dx. Page 5. 8. (9 ...