If f(x) = ∫₀ˣ t(sin x - sin t)dt then:

(D) f'''(x) - f''(x) = cosx - 2x sinx

(B) f'''(x) + f''(x) - f'(x) = cosx

(C) f'''(x) + f'(x) = cosx - 2x sinx

Integral Calculus: JEE Main 2018 Mathematics question

JEE Main 2018 · 16 Apr, Morning shift · Q3357

JEE Main 201816 Apr, Morning shiftMathematicsEasyIntegral Calculus369× since 2002

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

then :

JEE Main 2018 · 16 Apr, Morning shift · Q3357

JEE Main 201816 Apr, Morning shiftMathematicsEasyIntegral Calculus369× since 2002

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

then :