If `f(x) =∫_0^xt sin t dt` , then write the value of f ' (x).
`f(x) =∫_0^x t sin t dt`
We know that integration is the inverse process of differentiation.
`∴ f ' (x) = d/dx[∫_0^xtsintdt] = x sinx`
Concept: Integration as an Inverse Process of Differentiation
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