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\(\lim _{x \rightarrow 0} \frac{\int_0^x t \sin (10 t) d t}{x}\) is equal to [JEE Main 2020, 8 Jan (Shift 2)]

Q1

\(\lim _{x \rightarrow 0} \frac{\int_0^x t \sin (10 t) d t}{x}\) is equal to

[JEE Main 2020, 8 Jan (Shift 2)]

a

\(-\frac{1}{10}\)

b

\(\frac{1}{10}\)

c

\(-\frac{1}{5}\)

d

\(0\)

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