Practice variation 2 of 3
Definite integral — Similar modulus-and-arctan region
Your question
The curves and meet at and at where solves for . Write a symmetric integral for the enclosed area and give its antiderivative form.
This practice question was inspired by Question 13(c) in the 2021 NSW HSC Mathematics Extension 1 examination, © NESA. It is an original TestMum variation that practises the same mathematical idea, not an official NESA question.
Before you check
- Have you stated every choice or assumption?
- Can another student follow each line?
- Did you verify the final result independently?