∫ − a 4 ( x 8 − x 4 + x 2 + 1 ) d x = 2 ∫ 0 4 ( x 8 − x 4 + x 2 + 1 ) d x then a =

If f ( x ) is an even function then ∫ − a a f ( x ) d x = 2 ∫ 0 a f ( x ) d x Here f ( x ) = x 8 − x 4 + x 2 + 1 is an even function, therefore a = 4 .

Mathematics - Definite Integration Question with Solution | TestHub

MathematicsDefinite IntegrationProperties of definite integrationEasy2 minPYQ_2021

MathematicsEasysingle choice

$\int_{- a}^{4} (x^{8} - x^{4} + x^{2} + 1) d x = 2 \int_{0}^{4} (x^{8} - x^{4} + x^{2} + 1) d x$ then $a =$

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If $f (x)$ is an even function then $\int_{- a}^{a} f (x) d x = 2 \int_{0}^{a} f (x) d x$ Here $f (x) = x^{8} - x^{4} + x^{2} + 1$ is an even function, therefore $a = 4$ .

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

⏱ 2mℹ️ Source: PYQ_2021

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