Flashcards
Integration
Cards in this deck (6)
- 1Fundamental Theorem of Calculus\[\int{f'(x)}\,\mathrm{d}x = f(x)\]
Integration is the reverse of differentiation - 2What is integration used for?Finding the area between a curve and the specified axis
- 3Integration formula\[\int{ax^n}\,\mathrm{d}x = \frac{ax^{n + 1}}{n + 1} + c\]
- 4Definite integration\[\int_b^a{f(x)}\,\mathrm{d}x = \int{f(a)}\,\mathrm{d}x - \int{f(b)}\,\mathrm{d}x\]
\(c\) (the constant of integration) cancels out - 5Negative areasIf a graph goes below the axis at any point, split the integral into positive and negative parts and take the modulus of the negative areas
- 6Finding the area between two curves \(f(x)\) and \(g(x)\) where \(f(x) > g(x)\)Find intersections \(a\) and \(b\) where \(a > b\)
Check for negative areas
\[A = \int_b^a{f(x) - g(x)}\,\mathrm{d}x\]
Information
- Description
- A level OCR A level Maths (Calculus) Flashcards on Integration, created by James Norman on 31/12/2018.
- Created by
- James Norman
- Views
- 4
- Rating