For every integer a , ∫ a a + 1 f ( x ) d x = a 2 . Find ∫ − 2 4 f ( x ) d x .

Mathematics - Definite Integration Question with Solution | TestHub

MathematicsDefinite IntegrationProperties of definite integrationEasy2 minQB

MathematicsEasysingle choice

For every integer $a, \int_{a}^{a + 1} f (x) d x = a^{2}$ . Find $\int_{- 2}^{4} f (x) d x$ .

Answer:

Solution:

Sum the six unit-interval integrals for $a = - 2, - 1, 0, 1, 2, 3 : 4 + 1 + 0 + 1 + 4 + 9 = 19$ .

Stream:JEESubject:MathematicsTopic:Definite IntegrationSubtopic:Properties of definite integration

⏱ 2mℹ️ Source: QB

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