Integrate x^n (excluding n=-1) and related constant multiples, sums and differences;
Integrate e^kx, a^kx, sin kx, cos kx and related constant multiples, sums and differences;
Evaluate definite integerals;
Use definite integrals to find the area under a curve and the area between two curves;
Understand and use integration as the limit of a sum;
Carry out cases of integration by substitution and integration by parts;
Understand that integration by substitution is the inverse of the chain rule and integration by parts is the inverse of the product rule;
Integrate using partial fractions that are linear in the denominator;
Evaluate the analytical solution of simple first order differential equations with separable variables and find particular solutions;
Understand using factorisation to find a solution by separation of variables;
Interpret the solution of a differential equation in the context of solving a problem including identifying limitations of the solution (possibly with links to kinematics).
