Tính công thực hiện bởi lực có dạng F(x) = sin^3x khi vật di chuyển từ a đến b.

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 ... 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. sin 3x = sin(2x + x). = sin 2xcosx + cos 2xsin x using the first addition ... Note that by using these formulae we have written sin 3x in terms of sin x (and its ... Now, we would like to guess that the particular solution is Acos 3x+B sin 3x, but both cos 3x and sin3x are solutions to the homogeneous equation. Hence, we ... sin(3x). 1 + cos²(3x). 2. ---. (b) / z² + dz dz. {1}. 5x. (x − 2)(x+3) dx. 4. Evaluate De dx. 5. Indicate if the following series converge or diverge. You must ... Sep 11, 2014 ... The limit $$\lim_{x \rightarrow 0} \frac{\sin(x)}{x} = 1$$ is an important and standard one, but proving it takes a bit of ingenuity. Jun 4, 2022 ... This is obvious if you calculate it a few times. Since you have 3x instead of x, it is three times further away from zero than x, so to ensure ... ... (sin(3x))/((x-3)(x+3))-((3sin(x)cos^2(x)-sin^3(x))/(x^2-9)) can be very tricky and can be easily mistaken. Therefor if rich content editing(LaTex system) ... Trigonometry Examples · (3π2+1−1) f ( π 2 + 1 3 ) = sin ( 3 π 2 + 1 - 1 ) · (3π2) f ( π 2 + 1 3 ) = sin ( 3 π 2 ) · Apply the reference angle by finding the ... Dec 11, 2019 ... The value of 2sinxsin3x+tanxtan3x ______ · The correct Answer is:1 · 2sinxsin3x+tanxtan3x=2sinxsinx⋅(3−4sin2x)+tanx(3tanx−tan3x)(1−3tan2x) =23−4 ...