Integral calculus

0 of 14 topics done

Inverse circular antiderivatives and substitution

1Integrate inverse circular kernels and change variablesOpen, set of 8Lesson Practice

2Anti-differentiate reciprocal and linear-reciprocal functionsOpen, set of 8Lesson Practice

3Integration by recognition with logarithmic componentsOpen, set of 8Lesson Practice

4Anti-differentiate by recognition from a supplied derivativeOpen, set of 8Lesson Practice

Partial fractions, trigonometric identities and integration by parts

5Integrate using partial fractions, identities and partsOpen, set of 8Lesson Practice

6Decompose rational expressions into partial fractionsOpen, set of 8Lesson Practice

7Compound, double-angle and reciprocal identitiesOpen, set of 8Lesson Practice

8Anti-differentiate exponential and circular functionsOpen, set of 8Lesson Practice

Areas and numerical/symbolic integration

9Find exact areas and assess numerical integration resultsOpen, set of 8Lesson Practice

10Find the area between two curvesOpen, set of 8Lesson Practice

11Approximate area by an endpoint or trapezium ruleOpen, set of 8Lesson Practice

12Find areas involving reciprocal curvesOpen, set of 8Lesson Practice

13Audit numerical integration loops and error enclosuresOpen, set of 8Lesson Practice

Volumes, parametric lengths and surface areas

14Set up volumes, parametric lengths and surfaces of revolutionOpen, set of 8Lesson Practice

Chapter 4 Chapter 6