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Title: Riemann Integral - Properties
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Series: Real Analysis
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Chapter: Riemann Integral
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YouTube-Title: Real Analysis 53 | Riemann Integral - Properties
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Bright video: https://youtu.be/h4XohuM2iK4
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Dark video: https://youtu.be/WlC89vr7voU
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Ad-free video: Watch Vimeo video
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Forum: Ask a question in Mattermost
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Quiz: Test your knowledge
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Dark-PDF: Download PDF version of the dark video
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Print-PDF: Download printable PDF version
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Exercise Download PDF sheets
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Thumbnail (bright): Download PNG
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Thumbnail (dark): Download PNG
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Subtitle on GitHub: ra53_sub_eng.srt missing
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Download bright video: Link on Vimeo
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Download dark video: Link on Vimeo
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Timestamps (n/a)
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Subtitle in English (n/a)
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Quiz Content
Q1: Which is not a property of the map $f \mapsto \int_a^b f(x) dx$?
A1: linear
A2: monotonic
A3: additive
A4: injective
A5: homogeneous
Q2: What is the value of $\int_0^1 x , dx$
A1: $0$
A2: $\frac{1}{2}$
A3: $1$
A4: $2$
Q3: What is the value of $\int_1^0 x , dx$
A1: $0$
A2: $\frac{1}{2}$
A3: $-\frac{1}{2}$
A4: $-\frac{1}{4}$
A5: $\frac{1}{4}$
Q4: Is the function $f: [0,5] \rightarrow \mathbb{R}$ given by $f(x) = x^3 + 2 x^2 + x$ Riemann-integrable?
A1: Yes!
A2: No!
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Last update: 2025-01
