Question
If `f(x) =∫_0^xt sin t dt` , then write the value of f ' (x).
Solution
`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`
Is there an error in this question or solution?
Solution If f(x) =∫x0 t sin t dt, then write the value of f '(x). Concept: Integration as an Inverse Process of Differentiation.