The value of the integral ∫ 0 0.9 [ x − 2 [ x ]] d x , where [.] denotes the greatest integer function is

Since ∫ 0 a [ x ] = 0 where 0 ≤ a ≤ 1 ∴ ∫ 0 0.9 [ x − 2 [ x ]] d x = 0

Mathematics - Definite Integration Question with Solution | TestHub

MathematicsDefinite IntegrationProperties of definite integrationEasy2 minPYQ_2012

MathematicsEasysingle choice

The value of the integral $\int_{0}^{0.9} [x - 2 [x]] d x$ , where [.] denotes the greatest integer function is

Answer:

Solution:

Since $\int_{0}^{a} [x] = 0$ where $0 \leq a \leq 1$ $∴ \int_{0}^{0.9} [x - 2 [x]] d x = 0$

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

⏱ 2mℹ️ Source: PYQ_2012

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