Explore integrals in calculus, including basic rules, techniques, and applications, with Khan Academy's comprehensive lessons and practice exercises.

Analyzing problems involving definite integrals Get 3 of 4 questions to level up!

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Learn AP®︎ Calculus BC—everything from AP®︎ Calculus AB plus a few extra goodies, such as Taylor series, to prepare you for the AP®︎ test.

This video introduces integral calculus, explaining its fundamental concepts and applications, including calculating areas under curves and accumulation of quantities.

We're faced with the indefinite integral of x plus 3, times x minus 1 to the fifth dx. Now, we could solve this by literally multiplying out what x minus 1 to the fifth is.

The basic idea of Integral calculus is finding the area under a curve. To find it exactly, we can divide the area into infinite rectangles of infinitely small width and sum their areas—calculus is great for working …

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Finding derivative with fundamental theorem of calculus Google Classroom Microsoft Teams g (x) = ∫ 1 x (3 t 2 + 4 t) d t

The fundamental theorem of calculus shows how, in some sense, integration is the opposite of differentiation.