JEE MATHEMATICS MCQ: DIFFERENTIATION

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Analyzing +4 | -1

y = \int \limits_0^x f\left( t \right)\sin \left\{ {k\left( {x - t} \right)} \right\}dt

, then

\frac{{{d^2}y}}{{d{x^2}}} + {k^2}y

equals

View answer and explanation

Correct option: C

kf\left( x \right)

Option D (

k f(x)

) is correct because it is the result of applying Leibniz's rule for differentiating under the integral sign and simplifying the expression.

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