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Definite Integration question

2018 · 16 Apr · Shift 1 · Q26

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PYQ Library
JEE Main
Mathematics
Definite Integration
2018 · 16 Apr · Shift 1 · Q26

Definite Integration question

2018 · 16 Apr · Shift 1 · Q26

JEE MainMathematicsDefinite IntegrationMCQ+4 / −1

If

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

then :

A
f'''(x) + f''(x) = sinx
B
f'''(x) + f''(x) $-$ f'(x) = cosx
C
f'''(x) + f'(x) = cosx $-$ 2x sinx
D
f'''(x) $-$ f''(x) = cosx $-$ 2x sinx

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