Rotating a curve around an axis.
Moving from abstract formulas to the calculation of exact values and the Fundamental Theorem of Calculus. Integrals -Zambak-
Includes multiple-choice and open-ended questions similar to those found in A-Level (Edexcel, Cambridge), IB HL, AP Calculus (AB/BC), and university placement exams like YKS (Turkey) or SAT Subject Test (discontinued but still useful). Rotating a curve around an axis
| Differentiation Rule | Integration Rule (Formula) | |----------------------|----------------------------| | ( \fracddx(x^n) = n x^n-1 ) | ( \int x^n , dx = \fracx^n+1n+1 + C \ (n \neq -1) ) | | ( \fracddx(e^x) = e^x ) | ( \int e^x , dx = e^x + C ) | | ( \fracddx(\ln|x|) = \frac1x ) | ( \int \frac1x , dx = \ln|x| + C ) | | ( \fracddx(\sin x) = \cos x ) | ( \int \cos x , dx = \sin x + C ) | | ( \fracddx(\cos x) = -\sin x ) | ( \int \sin x , dx = -\cos x + C ) | | ( \fracddx(\tan x) = \sec^2 x ) | ( \int \sec^2 x , dx = \tan x + C ) | | Differentiation Rule | Integration Rule (Formula) |