JEE MATHEMATICS MCQ: DEFINITE INTEGRATION

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Analyzing +4 | -1

\phi \left( x \right) = \cos \,\,\,x\, - \int \nolimits_0^x \,\,\left( {x - t} \right)\,\,\phi \,\,\left( t \right)\,\,dt

, then

\phi ''\,\,\left( x \right)\,\, + \,\,\phi \,\,\left( x \right)

is equal to

View answer and explanation

Correct option: A

- \,\,\cos \,\,x

Option A is correct because after differentiating the given equation twice and simplifying,

\phi ''\,\,\left( x \right)\,\,+ \,\,\phi \,\,\left( x \right)

is equal to

- \,\,\cos \,\,x

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