\int_0^1 f(x) \, \mathrm{d} x
$latex P_{n}(x) = f(x_0)+\dfrac{f'(x_0)}{1!} (x-x_0) + $
$\int_0^1 f(x) \, \mathrm{d} x $
\dfrac{f''(x_0)}{2!}(x-x_0)^2 + +\dfrac{f{'''}}{3!}(x-x0)^3+\text{…}$latex P_{n}(x) = f(x_0)+\dfrac{f'(x_0)}{1!} (x-x_0) + $
$\int_0^1 f(x) \, \mathrm{d} x $
\dfrac{f''(x_0)}{2!}(x-x_0)^2 + +\dfrac{f{'''}}{3!}(x-x0)^3+\text{…}