Now we have the variable *x* showing up in both limits of integration! Thankfully, one of the properties of integrals says we can split the integral up, and the derivative of a sum is the sum of the derivatives, so To deal with the first integral we switch the limits of integration and switch the sign like we did a couple of examples ago: To deal with the other integral we have to use the chain rule, like we did in the previous example. If
then Putting the pieces back together, |