[AASL] Integration Unit Test

Here's a test I've written on AASL Integration.
Give yourself an hour to take this test and mark yourself against the mark scheme.

Good luck!

NB:  You may notice that the majority of questions showed up on the AAHL test. This is a deliberate decision, as I expect all AAHL students have a solid grasp of AASL topics. It also makes my life a lot easier when I don't have to recreate the test questions and their mark schemes because students are only allowed to take one (1) maths course in their IB DP.

Content

- Integrals of algebraic, exponential, logarithmic, trigonometric and inverse trigonometric functions.
- Linear expansions of the aforementioned functions.
- Integration by substitution.
- Definite integrals and their properties.
- Area between a curve and the coordinate axes, area between curves.

Information

- This test has four sections:

• Basics of integration
• Definite integrals and knowing when to differentiate/integrate
• Area and other applications

To "pass" this test, you need to pass each module. This ensures that you know the fundamentals across the topics covered in this unit.

Marking

Read the first page carefully for more information.

Each question is marked as an 'a' (basic question) or an 'e' (harder question).

You need to accumulate a certain number of 'a's and 'e's in each standard to satisfy the requirements for an A or an E.

Without any further ado, here's the test and its answers.

If there's a rare chance that any teacher reads my posts, please feel free to let me know what you think about the tests and any suggestions you have.

Errata: Each standard on the very first page of the test should have three columns, NA, A and E instead of NA, A and M. I'm sorry for any confusion caused by this.

Credit to AdventurousAndrew#7499.