# Identify the zero-length interval property.

Category: QuestionsIdentify the zero-length interval property.
Editor">Editor Staff asked 11 months ago

Identify the zero-length interval property.

(a) $$\int_a^b$$f(x)dx = -1

(b) $$\int_a^b$$f(x)dx = 1

(c) $$\int_a^b$$f(x)dx = 0

(d) $$\int_a^b$$f(x)dx = 0.1

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This intriguing question comes from Properties of Definite Integrals topic in chapter Integrals of Mathematics – Class 12
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Right answer is (c) $$\int_a^b$$f(x)dx = 0
Best explanation: The zero-length interval property is one of the properties used in definite integrals and they are always positive. The zero-length interval property is $$\int_a^b$$f(x)dx = 0.