JEE MATHEMATICS MCQ: DEFINITE INTEGRATION

1 Easy

1 of 1

Application +4 | -1

The function

f(x),

that satisfies the condition

f(x) = x + \int\limits_0^{\pi /2} {\sin x.\cos y\,\,f(y)dy,}

View answer and explanation

Correct option: D

x + (\pi - 2)\sin x

Option D (

x + (\pi - 2)\sin x

) is the correct function because it satisfies the given integral equation.

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