Lab #12: Antiderivatives
The goal of this is for you to:
- make a visual connection between functions and their antiderivatives.
After completing the lab, you should be able to:
- solve a differential equations with the assistance of MuPAD.
Ready for Lab (10 pts)
Submit your answers to the following prior to class the day of lab 12.
- Find the antiderivative of $f(x)=x^2+x+1$.
- Find the antiderivative of $f(x)=\frac{x^2+x+1}{x}$.
- Solve the differential equation $y’=\sin x +\cos x,\; y(0)=\pi$.
- (There is an error with this problem. Omit.) Solve the differential equation $y”=e^x+\frac{1}{x^2},\;y’(0)=1,\;y(0)=2$.
In the Lab (80 pts)
Your goal in the lab is to walk through the lab with your classmates, focus on understanding the mathematics and computer code, and complete the Comprehension Checks and Putting it All Together tasks. You may need to work outside of class to complete the tasks.
- Lab 12: Antiderivatives (MuPAD file, right-click Save As…)
- Lab 12: Antiderivatives (PDF, better for reading/printing)
After the Lab (10 pts)
For this lab, you can earn 10 points by doing the following:
- Add a paragraph or two titled “Summary and Conclusions” to the bottom of the file with information about (1) what you learned in this lab, (2) obstacles you ran into during the assignment, and (3) how the math in this lab connects to things you’ve learned in this or other math classes. Be specific and complete, and use full sentences.
- Insert your name, the date, and the name of your instructor into the top of the file.
- Save As… YourName-Lab-X-InstructorName.mn
- Export to a file named YourName-Lab-X-InstructorName.pdf
- Submit the .mn and .pdf files through Blackboard.
