What is #F(x) = int e^(x-2) - 2x^2 dx# if #F(0) = 1 #?
1 Answer
Explanation:
Step 1: Break it Up
Always, always look for ways to simplify a problem before you start solving it. Using the properties of integrals, we can break this big integral up into two smaller ones:
Step 2: Solve the Integrals
The first integral is very easy - if you know your exponent rules.
Because
The second integral is also simple - just some reverse power rule:
Step 3: Constant of Integration
Our solution is
Solving for
Therefore,