Lecture Week 7 - Calculus 2 MATH 1230 Kwantlen University Sect 7.8 Improper Integrals 1 15 Improper Integral So far the integrations were dealing

# Lecture Week 7 - Calculus 2 MATH 1230 Kwantlen...

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Calculus 2: MATH 1230 Kwantlen University Sect 7.8 Improper Integrals October 29, 2018 1 / 15
Improper Integral So far the integrations were dealing with finite cases, now we want to take care of infinite cases (where integral limits or integrands are unbounded). Type I (a): f is continuous over infinite interval [ a , ) a f ( x ) dx = lim b b a f ( x ) dx Steps: 1. Replace with some b and evaluate b a f ( x ) dx . 2. Find the limit of the answer in step (1) when b 2 / 15
Example: 1 dx x 2 3 / 15
Example: 1 e - x dx Example: 0 xe - x dx Solution. Step 1: b 0 xe - x dx = Step 2: Key: 1 5 / 15