What is #f(x) = int xsinx^2 + tan^2x -cos^2x dx# if #f(0)=-3 #?
1 Answer
Explanation:
The first term is of the form
The second term we transform by use of a standard trig identity:
The third term we transform by use of another standard trig identity:
So
Recall that
Put the three integrated terms together:
Solve for C using the given condition,
So