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JEE Main20202 Sep 2020Evening ShiftMathematicsDefinite IntegrationActual

Let t denote the greatest integer less than or equal to t . Then the value of ∫ 1 2 2 x - 3 x d x is

Correct answer

0

Step-by-step solution

∫ 1 2 3 x - 3 x - x d x   = ∫ 1 2 3 x - x d x = ∫ 1 2 x - 3 x d x = ∫ 1 2 x d x - ∫ 1 2 3 x d x =   x 2 2 1 2 - 3 ∫ 0 1 / 3 3 x d x = 4 2 - 1 2 - 9 x 2 2 0 1 / 3 = 3 2 - 9 2 ( 1 / 3 ) 2 - 0 2 = 1

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