Calculus

Integrals

From the definite integral through integration by parts and substitution to Abitur+

Final two years of upper secondary school and exam preparation, basic and advanced level.

The booklet starts with the definite integral of polynomial functions and moves through fractions, completing the square, trigonometric functions and u-substitution to the indefinite integral: standard integrals, integration by parts, trigonometric identities, partial fractions and trigonometric substitution. It continues with improper integrals — limits, domain and existence. The chapters Application, Abitur, Transfer and Abitur+ raise the level step by step. Every problem comes with two hints, an approach, the full solution and the typical mistake.