#calchacks — Public Fediverse posts
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Alright, future engineers!
**Trapezoidal Rule:** Approximates definite integrals by summing areas of trapezoids under the curve.
Ex: For `y=f(x)`, area over `[a,b]` is `~ (b-a)/2 * (f(a)+f(b))`.
Pro-Tip: Use more trapezoids (smaller `h`) for better accuracy!
#NumericalIntegration #CalcHacks #STEM #StudyNotes -
Alright, future engineers!
**Trapezoidal Rule:** Approximates integrals by summing areas of trapezoids under the curve. Ex: `Area ≈ h/2 * (f(x0) + f(xn) + 2*sum(f(xi)))`. Pro-Tip: More segments (smaller 'h') = better accuracy!
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Alright, future engineers!
**Trapezoidal Rule:** Approximates integrals by summing areas of trapezoids under the curve. Ex: `Area ≈ h/2 * (f(x0) + f(xn) + 2*sum(f(xi)))`. Pro-Tip: More segments (smaller 'h') = better accuracy!