If \(f(x)=\int_{0}^{x} t \sin t dt\), then \(f^{\prime}(x)\) is1\(cos x+x \sin x\)2\(x \sin x\)3\(x \cos x\)4\(\sin x+x \cos x\)Answer & explanation+Correct answer: option 2\(\frac{d}{dx}\left(\int_{a}^{x}f(t)dt\right)=f(x)\)