Introduction to improper integrals
3:52
Khan AcademySal Khan
Introduction to improper integrals
Improper integrals are definite integrals where one or both of the boundaries is at infinity, or where the integrand has a vertical asymptote in the interval of integration. As crazy as it may sound, we can actually calculate some improper integrals using some clever methods that involve limits.
2013年2月14日
短編
This integral looks innocent until you notice the singularity at x = 1. Let’s break down how to handle improper integrals step by step. We’ll rewrite the integral as a limit, find the antiderivative, and investigate whether the limit converges or diverges. Then, in partnership with Mathos AI, we’ll understand the graphical behaviour of the integrand and the implication of its asymptotic nature near x = 1 on the convergence of the target area (or lack thereof). Check out Mathos AI using the link
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This integral looks innocent until you notice the singularity at x = 1. Let’s break down
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Professor V 👩‍🏫 on Instagram: "Today in Office Hours we dove into one of the trickiest topics in Calculus 2: improper integrals. 🚀 If you’re struggling with these (including the Comparison Test for improper integrals), you’ll love my full tutorials and practice problems. 👉 Head to my YouTube channel Math with Professor V for the complete lessons, worked examples, and more step-by-step help! ✨📚 xoxo, Professor V ⸻ #Calculus2 #ImproperIntegrals #MathHelp #MathWithProfessorV #OfficeHours #Calc
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Professor V 👩‍🏫 on Instagram: "Today in Office Hours we dove into one of the trickiest topics in Calculus 2: improper integrals. 🚀 If you’re struggling with these (including the Comparison Test for improper integrals), you’ll love my full tutorials and practice problems. 👉 Head to my YouTube channel Math with Professor V for the complete lessons, worked examples, and more step-by-step help! ✨📚 xoxo, Professor V ⸻ #Calculus2 #ImproperIntegrals #MathHelp #MathWithProfessorV #OfficeHours #Calc
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