Understanding First-Year Calculus Concepts: Integrand and Antiderivative

[albema]

I have 2 questions to ask.

Which is “integrand” and the “antiderivative” on the attached image?

What is “hyperbolicus” (form of trigonometry identities which include e or exponential)?

I am an undergraduate student of engineering, so please tell me the easiest simplest way on this. I see many people here are advance.

Thank you

 

[Kurdt]

I'm going to ask what do you think corresponds to each of the terms from the image just in case this is a homework question. Just to define some terms however, the integrand is the function being integrated and the antiderivative is a function whose derivative is the integrand.

 

[HallsofIvy]

By "hyperbolicus" do you mean what in English are called the "hyperbolic functions"?

 

[premagg]

The answer to one part is correctly answered by kurdt.Hyperbolis are the hyperbolic functions that take into account the imaginary cases also.More read with the help of google as I am not able to write the expressions here.