# Integral Identities – Trigonometric Integrals

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Integral Identities

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**Formal Integral Definition:**** f(x) dx = lim (d -> 0) (k=1..n) f(X(k)) (x(k) – x(k-1)) when… a = x0 1 2 n = b d = max (x1-x0, x2-x1, … , xn – x(n-1)) x(k-1) (k) (k) k = 1, 2, …**

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** , n F “(x) dx = F(b) – F(a) (Fundamental Theorem for integrals of derivatives)** a f(x) dx = a f(x) dx (if a is constant) f(x) + g(x) dx = f(x) dx + g(x) dx f(x) dx = f(x) dx | (a b) f(x) dx + f(x) dx = f(x) dx f(u) du/dx dx = f(u) du **(integration by substitution)**

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