Evaluate the integral involving the greatest integer function: ∫[0 to 1.5] [x] dx. A. 0.5 B. 1 C. 1.5 D. 0 Answer: A) 0.5 Explanation: Split the integral where the integer value changes: ∫[0 to 1] 0 dx + ∫[1 to 1.5] 1 dx = 0 + [x] from 1 to 1.5 = 1.5 - 1 = 0.5.

imo class 12 definite integration

Evaluate the integral involving the greatest integer function: ∫[0 to 1.5] [x] dx.

VAVidaara Admin Asked 8d ago 0 views 0 answers

Evaluate the integral involving the greatest integer function: ∫[0 to 1.5] [x] dx.

Answer: A) 0.5

Explanation: Split the integral where the integer value changes: ∫[0 to 1] 0 dx + ∫[1 to 1.5] 1 dx = 0 + [x] from 1 to 1.5 = 1.5 - 1 = 0.5.

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