Home/Calculus II/Improper integrals/Infinite discontinuitiesSection 9.2Infinite discontinuitiesIf fff has an infinite discontinuity at bbb:Copy LaTeX∫abf(x) dx=limt→b−∫atf(x) dx.\int_a^b f(x)\,dx =\lim_{t\to b^-}\int_a^t f(x)\,dx.∫abf(x)dx=t→b−lim∫atf(x)dx.View detail →If the discontinuity is at an interior point ccc, the integral is separated and both parts must converge.
If fff has an infinite discontinuity at bbb:Copy LaTeX∫abf(x) dx=limt→b−∫atf(x) dx.\int_a^b f(x)\,dx =\lim_{t\to b^-}\int_a^t f(x)\,dx.∫abf(x)dx=t→b−lim∫atf(x)dx.View detail →