Definite Integrals
Antidifferentiate, then subtract the endpoints.
Concept
The Fundamental Theorem
A definite integral is signed area under a curve, but you rarely compute area directly. Find an antiderivative F, then evaluate F(b) − F(a).
The power rule runs in reverse: raise the exponent by one and divide by the new exponent.
∫ₐᵇ x^n dx = [x^(n+1)/(n+1)]ₐᵇ