# First find the curve then area

Calculus Level pending

Let $$f\left( x \right)$$ be a differentiable function such that

$$f\left( x+y \right) ={ e }^{ x }f\left( y \right) +{ e }^{ y }f\left( x \right)$$

for all $$x,y$$

And Given that $$f^{ ' }\left( x \right) =1$$

Find the Area bounded by the curve and x axis

×