Gce Model Questions Vol1 2023 Further Mathematics Question 14
Practice objective / multiple choice question 14 from the 2023 Gce Model Questions Vol1 Further Mathematics examination.
Evaluate the integral \(I=\displaystyle\int_{0}^{\ln 2}\frac{e^{2x}}{1+e^{x}}\,dx\). Then determine the constant \(C\) such that the function \(F(x)=\displaystyle\int_{0}^{x}\frac{e^{2t}}{1+e^{t}}\,dt+C\) satisfies \(F(\ln 2)=5\). Give \(I\) and \(C\) in exact form.
Answer Options
About This Question
This is Gce Model Questions Vol1 2023 Further Mathematics Question 14. It is one of the objective questions from the 2023 Gce Model Questions Vol1 Further Mathematics examination.
Difficulty level: Medium .
Master the Exam!
You've seen a preview, but there are thousands more questions plus AI tutor to break down complex solutions.