Negative Integrals The area under a curve may appear fully or partially under the x-axisthis occurs if the negative area(s) is/are greater than the positive area(s), their sum will be negative How ...
Integrating Composite Functions (ax+b) What is a composite function? A composite function involves one function being applied after another A composite function may be described as a “function of a...
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...
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...
