Integrating Trig Functions How do I integrate sin, cos and 1/cos^2? The antiderivatives for sine and cosine are For calculus with trigonometric functions angles must be measured in radians Ensure y...
Finding the Constant of Integration What is the constant of integration? When finding an anti-derivative there is a constant term to consider In terms of graphing an anti-derivative, there are endl...
一直以来数学作为大多数学生“噩梦”，让许多学生对数学这门科目“又爱又恨”。但是数学也是中国学生最擅长的科目，而A-Level作为英国大学入学考试课程，在其科目众多的情况下数学科目还是常年稳居“C位”，每年都有大...
Introduction to Integration What is integration? Integration is the opposite to differentiation Integration is referred to as antidifferentiation The result of integration is referred to as the ant...
Trapezoid Rule: Numerical Integration What is the trapezoid rule?The trapezoidal rule is given in the formula booklet What else can be asked to do with the trapezoid rule? Comparing the true answer...
Concavity of a Function What is concavity? Concavity is the way in which a curve (or surface) bends Mathematically, CONCAVE DOWN is often called concave CONCAVE UP is often called convex Exa...
Stationary Points & Turning Points What is the difference between a stationary point and a turning point? A stationary point is a point at which the gradient function is equal to zero The tange...
Second Order Derivatives What is the second order derivative of a function? If you differentiate the derivative of a function (i.e. differentiate the function a second time) you get the second orde...
Related Rates of Change What is meant by rates of change? A rate of change is a measure of how a quantity is changing with respect to another quantity Mathematically rates of change are derivatives...
