## Important Formulas in Engineering Mathematics – Calculus & Laplace Transform
Engineering students often struggle with remembering key formulas. Here's a quick list of important formulas used in Calculus and Laplace Transform:
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### 🔹 Calculus – Differentiation:
1. d/dx (x^n) = n*x^(n−1)
2. d/dx (sin x) = cos x
3. d/dx (e^x) = e^x
4. d/dx (ln x) = 1/x
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### 🔹 Calculus – Integration:
1. ∫ x^n dx = (x^(n+1))/(n+1) + C
2. ∫ e^x dx = e^x + C
3. ∫ 1/x dx = ln|x| + C
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### 🔹 Laplace Transform Basics:
1. L{1} = 1/s
2. L{t} = 1/s^2
3. L{e^(at)} = 1/(s−a)
4. L{sin(at)} = a / (s^2 + a^2)
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🧠 Pro Tip: Understand the concepts behind each formula rather than memorizing them blindly. I’ll be posting examples and problems in the next lesson. Stay tuned!
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