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Université Laval · Québec · preuniversity / preparatory year
Université Laval MAT-0260 — Integral Calculus
Practise polynomial primitives and selected substitutions before the preparatory course’s wider integration, improper-integral and series work. This activity is not degree-contributory.
16 original question families · 48 parameter instances
Practise this course →Course alignment and coverage
Official Laval activity description, level/credit-contribution note and published Fall 2026 information checked on 25 October 2026. A full current section plan and weekly order have not been verified.
Across this collection: 140 distinct original families and 420 parameter instances. Courses share topic banks; translations and shared mappings are not extra questions.
Supported learning objectives
Polynomial antiderivatives
Reverse the power rule and use a stated constant or initial value. Exact fractional coefficients are supported.
Definite integrals and average value
Evaluate elementary polynomial integrals, distinguish signed accumulation and compute an average value.
Elementary-function derivatives at a point
Evaluate log, exponential, sine and quotient derivatives at specified points; numerical answers only.
Selected integration substitutions
Change variables and both bounds in elementary polynomial, logarithmic and trigonometric definite integrals.
What is not covered
Only polynomial primitives, elementary definite integrals and selected substitutions are supported. Integration by parts, partial fractions, improper integrals, numerical integration/error bounds, volumes, differential equations and sequences/series are not covered.
An original worked example
Find F(x) with F′(x)=6x² and F(0)=0. Enter the polynomial.
Worked solution
Answer: 2x^3
- A general primitive is 2x³+C.
- F(0)=0 gives C=0, hence F=2x³.
Official course sources
Independent, original, free self-study practice. Not affiliated with or endorsed by this university; these are not official exam questions. Topic alignment does not establish transfer credit, a current section’s weekly syllabus, full course coverage or a grade prediction. Follow your instructor’s rules and use official course materials for assessed work. No live AI chat or paid access is required.