How is v = awcos (WT +?) derived from the expression of X in simple harmonic motion?

V＝dx /dt
From v = awcos (WT +?), as long as both sides integrate at the same time, we get the expression of X
That is, x = ∫ V DT = ∫ awcos (WT +?) DT = a sin (WT +?) + C, C is the integral constant

RELATED INFORMATIONS

1. How to calculate the initial phase in simple harmonic motion? How to calculate the initial phase according to the image, we need to have the explanation of the unit circle, and we need to give examples The unit circle is mainly used to judge the positive and negative, the answer can not be too simple!
2. ∫1/(1+cos t)dt
3. The expression of definite integral f (x) = ∫ 0 to 1| x-t | DT
4. Let f (x) satisfy ∫ f (TX) DT (from 0 to 1) = f (x) + xsinx
5. It is proved that the continuous function f (x) satisfies: ∫ (0 to 1) f (TX) DT = f (x) + xsinx
6. The definite integral of the original function of the square of xsinx
7. If f (x) is continuous and f (x) = x + (x ^ 2) ∫ (0,1) f (T) DT, find f (x)
8. Finding the derivative of F (x) = sin ^ 3 · 1 / X
9. Definite integral T ^ (n-1) * f (x ^ N-t ^ n) upper limit x lower limit 0
10. If f (x) has continuous derivatives in [1, + ∞), and satisfies X-1 + X ∫ (upper limit x, lower limit 1) f (T) DT = (x + 1) ∫ (upper limit x, lower limit 1) TF (T) DT, find f (x) The answer is f (x) = x ^ (- 3) * e ^ (1-1 / x),
11. What's the relationship between COS and sin in the same corner? It's better to say how to prove it Better be specific,
12. The relationship between COS and sin
13. The relationship between sin and COS Evaluation: sin6 °× sin42 °× sin66 °× sin78 °
14. The relationship between sin and COS
15. The relationship between sin α and cos α How to find cos α and Tan α when sin α = 4 / 5
16. Let I = sinwt, then di / dt = dsinwt / dt = coswt * D (WT) / dt = wcoswt. What formula is used to get DWT / dt = w in the last step?
17. Find the value of COS ^ 15 ° + sin ^ 15 °
18. cos^15°-sin^15°=
19. A detailed derivation of sin ^ 2 (WT + ∮) = (1 / 2) [1-cos ^ 2 (WT + ∮]
20. Solving indefinite integral ∫ [t * e ^ (- cost)] DT