What is #f(x) = int e^(x+2)-6x dx# if #f(2) = 3 #?
1 Answer
Explanation:
We need to start by solving the integral, then plugging in the known values to finish. Notice that inside the integral is a subtraction symbol, which tells us that we can split this integral into two parts.
For the first one, start by using the chain rule to find the derivative of
So the integral is;
For the second integral we can use the power rule.
Putting everything together and combining the constants into one term, the general solution for our integral is;
We are given the point
So;