Simplify (3x^2 - 6x)/ (6x^3 - 19x^2 + 9x +10)

3x(x-2)/(2x+1)(x-2)(3x-5) 3x/(2x+1)(3x-5)

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Use integration by parts to find ∫ (x^2)sin(x) dx. (A good example of having to use the by parts formula twice.)


Integrate (2x)(e^x)dx


Find the values of k for which the equation (2k-3)x^2 - kx + (k-1) = 0


f(x) = 2x3 – 5x2 + ax + 18 where a is a constant. Given that (x – 3) is a factor of f(x), (a) show that a = – 9 (2) (b) factorise f(x) completely. (4) Given that g(y) = 2(33y ) – 5(32y ) – 9(3y ) + 18 (c) find the values of y that satisfy g(y) = 0, givi