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∫ u(dv/dx) dx = uv − ∫ v(du /dx)dx is the Integration by Parts formula. 

If you set u=lnx, differentiation (rememeber from tables) leads to du/dx= 1/x, and dv/dx=x and so v=x^2/2 (raise power by on...

First, convert the mass of the bullet into SI units -> 240g=0.24kg

The law of the conservation of momentum states that m₁v₁=m₂v₂. To find the speed of...

Anti-biotic resistance is a growing problem for humans now, exacerbated by the overuse and over reliance on anti-biotics. Bacteria colonies have genetic variation amongst the individuals which means they ...

This question is aimed at A-Level Pure Core 1 students. A circle with centre C(2, 3) passes through the point A(-4,-5).  Find the equation of the circle in the form (x-a)^2 + (y-b)^2 = k ...

Determinism refers to the understanding that all human behaviour is controlled and has an identifiable cause. It is the opposite to ‘free will’ which refers to individuals having active control over their...