[7.8] Improper integrals.pdf - Updated Calculus II 7.8 Math 230 Calculus II Brian Veitch \u2022 Fall 2015 \u2022 Northern Illinois University Improper

# [7.8] Improper integrals.pdf - Updated Calculus II 7.8 Math...

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Updated: January 17, 2016 Calculus II 7.8 Math 230 Calculus II Brian Veitch Fall 2015 Northern Illinois University Improper Integrals Well you’ve made it through all the integration techniques. Congrats! Unfortunately for us, we still need to cover one more integral. They are called Improper Integrals . At this point, we’ve only dealt with integrals of the form Z b a f ( x ) dx Before we talk about the improper type, let’s try to build up to it. Consider the integral Z t 1 1 x 2 dx Evaluating the integral, we get Z t 1 1 x 2 dx = - 1 x t 1 = - 1 t + 1 = 1 - 1 t Does this work for any t > 1? 1
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Updated: January 17, 2016 Calculus II