Integrals

Basic Integrals that Are Good for Everyone to Know

∫ 1 dx = x + C

∫ x^n dx = 1/(n+1)x^(n+1)

∫ e^x dx = e^x + C

∫ 1/x dx = ln(x) + C

∫ tan(x) dx = ln|sec(x)| + C

Basic Integration Rules

∫ f(x) + g(x) dx = ∫ f(x) dx + ∫ g(x) dx

∫ k f(x) dx = k∫ f(x) dx

Fundamental Theorem of Calculus

∫_a^b f'(x) dx = f(b) - f(a)