Antiderivatives and the fundamental theorem of calculus | AP Calculus BC | Khan Academy
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What you'll learn
This course includes
- 4.3 hours of video
- Certificate of completion
- Access on mobile and TV
Course content
1 modules • 44 lessons • 4.3 hours of video
Antiderivatives and the fundamental theorem of calculus | AP Calculus BC | Khan Academy
44 lessons
• 4.3 hours
Antiderivatives and the fundamental theorem of calculus | AP Calculus BC | Khan Academy
44 lessons
• 4.3 hours
- Calculating average value of function over interval | AP Calculus AB | Khan Academy05:08
- Finding derivative with fundamental theorem of calculus: x is on both bounds | Khan Academy05:04
- _-substitution: definite integral of exponential function | AP Calculus AB | Khan Academy07:53
- Definite integral of rational function | AP Calculus AB | Khan Academy05:04
- Interpreting behavior of _ from graph of _'=ÃÂ | AP Calculus AB | Khan Academy08:22
- Mean value theorem for integrals | AP Calculus AB | Khan Academy09:07
- Definite integral of radical function | AP Calculus AB | Khan Academy03:50
- Fundamental theorem of calculus (Part 1) | AP Calculus AB | Khan Academy08:03
- Intuition for second part of fundamental theorem of calculus | AP Calculus AB | Khan Academy12:24
- Worked example: Finding derivative with fundamental theorem of calculus | Khan Academy03:54
- Definite integral involving natural log | AP Calculus AB | Khan Academy07:26
- Fundamental theorem of calculus (Part 2) | AP Calculus AB | Khan Academy04:45
- Antiderivatives and indefinite integrals | AP Calculus AB | Khan Academy03:43
- Average value over a closed interval | AP Calculus AB | Khan Academy04:43
- _-substitution: logarithmic function | AP Calculus AB | Khan Academy03:39
- Definite integral of absolute value function | AP Calculus AB | Khan Academy06:52
- Reverse power rule | AP Calculus AB | Khan Academy05:48
- Finding derivative with fundamental theorem of calculus: x is on lower bound | Khan Academy03:00
- Definite integrals: reverse power rule | AP Calculus AB | Khan Academy04:14
- Indefinite integrals: sums & multiples | AP Calculus AB | Khan Academy04:38
- _-substitution: rational function | AP Calculus AB | Khan Academy04:04
- _-substitution intro | AP Calculus AB | Khan Academy05:11
- Definite integral of piecewise function | AP Calculus AB | Khan Academy06:13
- Indefinite integrals of sin(x), cos(x), and e_ | AP Calculus AB | Khan Academy04:04
- Rewriting before integrating | AP Calculus AB | Khan Academy05:17
- Definite integral of trig function | AP Calculus AB | Khan Academy04:59
- Visually determining antiderivative | AP Calculus AB | Khan Academy04:27
- _-substitution: multiplying by a constant | AP Calculus AB | Khan Academy05:33
- Proof of fundamental theorem of calculus | AP Calculus AB | Khan Academy14:00
- _-substitution: definite integrals | AP Calculus AB | Khan Academy05:53
- _-substitution: defining _ | AP Calculus AB | Khan Academy03:35
- _-substitution: defining _ (more examples) | AP Calculus AB | Khan Academy04:34
- Indefinite integral of 1/x | AP Calculus AB | Khan Academy07:35
- Dividing expressions to evaluate integral | AP Calculus BC | Khan Academy05:18
- Partial fraction expansion to evaluate integral | AP Calculus BC | Khan Academy08:52
- Improper integral with two infinite bounds | AP Calculus BC | Khan Academy11:27
- Divergent improper integral | AP Calculus BC | Khan Academy02:42
- Integration by parts: º___cos(x)dx | AP Calculus BC | Khan Academy07:17
- Integration by parts: ºx_cos(x)dx | AP Calculus BC | Khan Academy03:52
- Integration by parts intro | AP Calculus BC | Khan Academy03:52
- Integration by parts: ºln(x)dx | AP Calculus BC | Khan Academy03:50
- Integration by parts: ºx____dx | AP Calculus BC | Khan Academy06:46
- Introduction to improper integrals | AP Calculus BC | Khan Academy03:52
- Integration by parts: definite integrals | AP Calculus BC | Khan Academy05:43
