Use the First Fundamental Theorem of Calculus to find d tan* t sec' t dt = Now suppose F(t) is an antiderivative of tan' t sect. Then F'(t)= According to the Second Fundamental Theorem of Calculus, tan' tsec' t dt = . Answer using the function F. See Example 3 on page 238 of the textbook or Example 137 in the notes for a similar