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...
