If you're seeing this message, it means we're having trouble loading external resources on our website.

If you're behind a web filter, please make sure that the domains *.kastatic.org and *.kasandbox.org are unblocked.

Main content

AP®︎ Calculus BC (2017 edition)

Course: AP®︎ Calculus BC (2017 edition) > Unit 9

Lesson 5: Finding definite integrals
Math
AP®︎ Calculus BC (2017 edition)
Antiderivatives and the fundamental theorem of calculus
Finding definite integrals
© 2023 Khan AcademyTerms of usePrivacy PolicyCookie Notice

Definite integrals: reverse power rule

AP.CALC: FUN‑6 (EU), FUN‑6.B (LO), FUN‑6.C (LO)
Google Classroom
You might need: Calculator

Problem

Evaluate the definite integral.
integral, start subscript, minus, 2, end subscript, start superscript, minus, 1, end superscript, 6, x, start superscript, minus, 3, end superscript, d, x, equals
  • Your answer should be
  • an integer, like 6
  • a simplified proper fraction, like 3, slash, 5
  • a simplified improper fraction, like 7, slash, 4
  • a mixed number, like 1, space, 3, slash, 4
  • an exact decimal, like 0, point, 75
  • a multiple of pi, like 12, space, start text, p, i, end text or 2, slash, 3, space, start text, p, i, end text
Stuck?
Stuck?