Evaluate using limit of sums

F(x)=h(x)+g(x)

Solving for h(x)

. h(x) is continuous in [0,4]

here h=4/n

=8

Now solving for g(x)

g(x) is continuous in [0,4]

here h=4/n

Which is g.p with common ratio e^1/n

Whose sum is

As h=4/n

=(e⁸-1)

Now for f(x)=h(x)+g(x)

=8+ e⁸-1