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The answer is 1/(x+1)I began by factorising the denominator of the first fraction:2(x-1)/(x^2-2x-3) - 1/(x-3) = 2(x-1)/(x-3)(x+1) - 1/(x-3) Next, I multiplied both the numerator and the denominator of the...

dy/dx=3x^2+6xx=2m=3(2)^2+6(2)=24at x=2 y=22(2,22)y-22=24(x-2)y-22=24x-48y=24x-26

Since (x+2)/(2x²+1)³ can't be easily simplified into a more straightforward integral, we have to rely on some more advanced integration methods. Before trying things like substitutio...

Stationary points - dy/dx =0dy/dx = x² -8x +12 ( differentiating- early a level skill). Solving x² -8x +12=0 gives x=6, x=2 (solving quadratics- gcse skill). Subbing these values bac...

This is a complex question, the proof of which is unlikely to be asked at maths A-level, however the process behind the proof practices fundamental knowledge for the subject. If a student can successfully...