JEE MATHEMATICS MCQ: DEFINITE INTEGRATION

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Analyzing +4 | -1

Let

f(x)=x^2+\int_0^x e^{-t} f(x-t) d t

and

f(0)=0

. Then

[f(3)]

where [.] represent greatest integer

View answer and explanation

Correct option: B

Option B (18) is correct because after solving the integral equation and substituting x=3, the greatest integer function evaluates to 18.

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