Support · Mathematics Extension 1 11–12 – Year 12 · Further calculus skills
Support Find indefinite and definite integrals involving expressions of the form 1/√(a² - x²) or a/(a² + x²)
Resources for the prerequisite content of this dot point: earlier-stage (or earlier sub-level) dot points in the same strand that students usually need first. Use these to fill gaps before or alongside the core lesson.
Prerequisite links are draft mappings generated from the syllabus structure (earlier stage, same strand, closest content). They are being reviewed by teachers. Spot a poor match? Tell us.
Prerequisite dot points
Determine indefinite integrals of the form ∫f'(x)sinf(x)dx, ∫f'(x)cosf(x)dx and ∫f'(x)sec²f(x)dx
Mathematics Advanced 11–12 – Year 12 · Integral calculus Draft mapping
No checked resources on this prerequisite dot point yet.
Establish and use indefinite integrals of the form ∫f(ax + b)dx, where a and b are constants and a≠0, and f(x) = sinx, f(x) = cosx and f(x) = sec²x
Mathematics Advanced 11–12 – Year 12 · Integral calculus Draft mapping
No checked resources on this prerequisite dot point yet.
Recognise integration as the process of finding the indefinite integral of a function
Mathematics Advanced 11–12 – Year 12 · Integral calculus Draft mapping
No checked resources on this prerequisite dot point yet.