Support · Mathematics Extension 1 11–12 – Year 12 · Further calculus skills
Support Use integration by substitution to evaluate definite and indefinite integrals given the substitution, where the substitution is expressed as a function of the variable of integration or where the variable of integration is the subject of the substitution
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
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.
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.
Use the formula ∫xⁿdx = 1/(n + 1)x^(n + 1) + C for real n≠ - 1
Mathematics Advanced 11–12 – Year 12 · Integral calculus Draft mapping
No checked resources on this prerequisite dot point yet.