If `(x)=int_0^x tsint\ dt ,\ ` then write the value of `f^(prime)(x)`

Explanation

Given:


`f(x)=int_{0}^{x} t sin t d t`


Using Integration by parts,


`f(x)=[t(-cos t)]_{0}^{x}+[sin x]_{0}^{x} `

`Rightarrow f(x)=sin x-x cos x`
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