My exam is tomorrow and I don't understand this concept. Someone please help!
Can someone help me with this true or false problem?
2
$\begingroup$
calculus
integration
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0What concept is troubling you? You did note the reversed limits of integration at the end, right? – 2012-04-18
1 Answers
5
Integrals have the properties that they are additive, constants can "jump out", and changing the sign can is the same as switching the limits. Namely:
- $\displaystyle\int_a^b(cf+g) = c\int_a^b f+\int_a^b g$
- $\displaystyle\int_a^b f = -\int_b^a f$
From these two properties the question should be clearer.
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2@David, my pleasure. Good luck tomorrow. – 2012-04-18