Modelling with Differentiation What can be modelled with differentiation? Recall that?differentiation?is about the?rate?of?change?of a function and provides a way of finding?minimum?and?maximum?val...
Negative Integrals How do I find the area under a curve when the curve is fully under the x-axis? ? STEP 1 Write the expression for the definite integral to find the area as usual This may involve ...
Definite Integrals What is a definite integral? The?constant?of?integration?(“+c”) is not needed in?definite?integration “+c” would appear alongside both?F(a)?and?F(b) subtracting means the “+c”’s ...
Linear Simultaneous Equations - Elimination What are simultaneous linear equations? When you have more than one equation in more than one unknown, then you are dealing with?simultaneous equa...
Further Solving Quadratic Equations (Hidden Quadratics) What are hidden quadratic equations? Hidden quadratic equations are quadratics written in terms of a function ?(χ) A normal quadratic ...
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...
Solving Quadratic Equations Solving quadratic equations We can solve quadratic equations when they are written in the form If given an unusual looking equation, try to rearrange it into this...
Integrating Trig Functions How do I integrate sin and cos? Worked Example ? Integrating e^x & 1/x How do I integrate exponentials and logarithms? Exam Tip Make sure you have a copy of th...
Completing the square What is completing the square? Completing the square is another method used to solve quadratic equations It simply means writing in the form It can be used to help find other ...
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...
Discriminants What is a discriminant? The discriminant is the part of the quadratic formula that is under the square root sign It is sometimes denoted by the Greek letter ?(capital delta) Ho...
Quadratic Graphs What are quadratic graphs? The general equation of a quadratic graph is Their shape is called a parabola ("U" shape) Positive quadratics have a value of so the parabola?is u...
