2021 MI P2 Q3
It is given that $\text{f}\left( x \right)=\ln \left( 2+2\sin x \right)$.
(i)
Show that $\text{f}”\left( x \right)=\frac{k}{1+\sin x}$, where $k$ is a constant to be found.
[3]
(ii)
Hence find the Maclaurin series for $\text{f}\left( x \right)$, up to and including the term in ${{x}^{3}}$.
[4]
(iii)
Use the series in part (ii) to approximate the value of $\int_{0}^{2}{\text{f}\left( x \right)\,\,\text{d}x}$.
[1]
Suggested Handwritten and Video Solutions
Login here to view
Join Us
Our H2 Math Tuition includes
- Question Bank with Video solutions to 1400+ questions
- Online Portal
- H2 Math Summary Notes
- Structured Curriculum and Notes
Free Stuff
100 Essential Topical Questions
Login here to view
Join Us
Our H2 Math Tuition includes
- Question Bank with Video solutions to 1400+ questions
- Online Portal
- H2 Math Summary Notes
- Structured Curriculum and Notes
Free Stuff
100 Essential Topical Questions
Share with your friends!
WhatsApp
Telegram
Facebook