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C4 – Formula Sheet Complete the following worksheet showing formulae and results needed for C4 Algebra The binomial expansion when n is rational but not a positive integer, and –1< x < 1 (1 + x)n = Trigonometry sin2x = cos2x = Coordinate Geometry Parametric Equations If y = f(t), x = f(t) are the parametric equations of a curve then dy = dx Calculus Parametric Equations If y = f(t), x = f(t) are the parametric equations of a curve then dy = dx Integration sin kx dx = ………………………. cos kx dx = ………………………. 493719206 sec e 2 kx kx dx = ……………………. dx = ………………………. x dx = ………………………. 1 f (x) dx = ……………………. f(x) Volume of revolution Vx = ………………………… Integration by Parts u dv dx = dx Vectors Unit vectors are vectors which have a magnitude of ….. Vector equation of a line through a parallel to b is r = Two vectors are parallel if they are ……………… of each other. The magnitude of a vector a = a = xi yj zk = Scalar product a.b = 493719206 Numerical Methods Trapezium Rule states: b f(x) dx ………………………. a 493719206