#### 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.