Math & Physics Formula Sheet Generator

# Engineering Mathematics: Key Formulas & Cheat Sheet **Subject:** Advanced Calculus & Vector Fields | **Exam Review Sheet** --- ## 1. Differentiation Rules - **Product Rule**: (u · v)' = u'v + uv' - **Quotient Rule**: (u / v)' = (u'v - uv') / v² - **Chain Rule**: d/dx [f(g(x))] = f'(g(x)) · g'(x) - **Power Rule**: d/dx [xⁿ] = n · xⁿ⁻¹ ## 2. Standard Integrals - ∫ (1/x) dx = ln|x| + C - ∫ e^(ax) dx = (1/a) e^(ax) + C - ∫ sin(kx) dx = -(1/k) cos(kx) + C - ∫ cos(kx) dx = (1/k) sin(kx) + C - ∫ 1 / (1 + x²) dx = arctan(x) + C ## 3. Fourier Series Expansion For periodic function f(x) on [-L, L]...