# How do you use the Fundamental Theorem of Calculus to find the derivative of int e^(4t²-t) dt from 3 to x?

Jul 17, 2016

By FTC

$\frac{d}{\mathrm{dx}} {\int}_{a}^{x} \setminus f \left(t\right) \setminus \mathrm{dt} = f \left(x\right)$

So

d/dx int_3^x e^(4t²-t) dt

=e^(4x²-x)