Home/Calculus II/Applications of the integral/Area between curvesSection 10.1Area between curvesWith vertical slices:vizCopy LaTeXA=∫ab[f(x)−g(x)] dx,A=\int_a^b [f(x)-g(x)]\,dx,A=∫ab[f(x)−g(x)]dx,View detail →if f(x)≥g(x)f(x)\ge g(x)f(x)≥g(x). In general,FormulaCopy LaTeXA=∫ab∣f(x)−g(x)∣ dx.A=\int_a^b |f(x)-g(x)|\,dx.A=∫ab∣f(x)−g(x)∣dx.View detail →With horizontal slices:Copy LaTeXA=∫cd[xderecha(y)−xizquierda(y)] dy.A=\int_c^d [x_{\mathrm{derecha}}(y)-x_{\mathrm{izquierda}}(y)]\,dy.A=∫cd[xderecha(y)−xizquierda(y)]dy.View detail →
With vertical slices:vizCopy LaTeXA=∫ab[f(x)−g(x)] dx,A=\int_a^b [f(x)-g(x)]\,dx,A=∫ab[f(x)−g(x)]dx,View detail →
With horizontal slices:Copy LaTeXA=∫cd[xderecha(y)−xizquierda(y)] dy.A=\int_c^d [x_{\mathrm{derecha}}(y)-x_{\mathrm{izquierda}}(y)]\,dy.A=∫cd[xderecha(y)−xizquierda(y)]dy.View detail →