How do you calculate the derivative of #intcos(t)/t dt# from #[x,3]#?
Use the Fundamental Theorem of Calculus Part 1.
Fundamental Theorem of Calculus Part 1 says (in part) that if
This question asks about the function:
Clearly, in this question we have
Notice that FTC 1 requires the constant to be the lower limit of integration, so we use the properties of definite integral to write:
Now, we can see that
That's it. Stop! We are finished. Move on to the next question.
(On exams, the trickiest thing about this kind of question is often understanding how easy it is. We expect more work to be needed.)
Find the derivative of:
(It is so easy, that graders may penalize heavily for forgetting to change the variable