Recurrence relations

Task number: 3108

Express the following integrals with the help of recurrence relations. Don‘t forget to determine the interval on which the solution is valid.

  • Variant 1

    \(\int \sin^n x \, dx\)

  • Variant 2

    \(\int \cos^n x \, dx\)

  • Variant 3

    \(\int e^x x^n \, dx\)

Difficulty level: Easy task (using definitions and simple reasoning)
Routine calculation training
Cs translation
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