# What is the next obvious step for this integral?

#### Rapha

Hello.

I have this line given

$$\displaystyle \frac{\partial}{\partial f(t)} \int_0^x f(t)*g(t) dt$$

Is there any chance to simplify that?
Sadly there is no information given about the functions f(t) and g(t).

Any ideas?

Rapha

#### chisigma

MHF Hall of Honor
The expression...

$$\displaystyle \int_{0}^{x} f(t)\cdot g(t)\cdot dt$$ (1)

... is a function of the $$\displaystyle x$$ alone so that its derivative repect to $$\displaystyle f(t)$$ is zero...

Kind regards

$$\displaystyle \chi$$ $$\displaystyle \sigma$$

Rapha

#### Rapha

Hello chisigma.

Thank you so much!

Rapha