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?Which of the following integrals are improper? Why?(a) \(\int_{0}^{\pi} \sec x \ d
Chapter 7, Problem 2(choose chapter or problem)
QUESTION:
Which of the following integrals are improper? Why?
(a) \(\int_{0}^{\pi} \sec x \ d x\)
(b) \(\int_{0}^{4} \frac{d x}{x\ -\ 5}\)
(c) \(\int_{-1}^{3} \frac{d x}{x\ +\ x^{3}}\)
(d) \(\int_{1}^{\infty} \frac{d x}{x\ +\ x^{3}}\)
Questions & Answers
QUESTION:
Which of the following integrals are improper? Why?
(a) \(\int_{0}^{\pi} \sec x \ d x\)
(b) \(\int_{0}^{4} \frac{d x}{x\ -\ 5}\)
(c) \(\int_{-1}^{3} \frac{d x}{x\ +\ x^{3}}\)
(d) \(\int_{1}^{\infty} \frac{d x}{x\ +\ x^{3}}\)
Step 1 of 6
Improper integrals of Type 1: At least one of the upper/lower limit of the definite integral is
Improper integrals of Type 2: The integrand is NOT continuous at ALL points between and including the limits of integration.