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The first step is deciding on the method of integration. For this integral it makes the most sense to use substitution.Let u = x² + 1Differentiate w.r.t x => du/dx = 2xRearrange for dx=> ...

Your personal statement should give the reader an idea of your experiences and motivations and how these have shaped you and, finally, how the course you are applying for will bring forth that which is wi...

Integrate by parts:u = ln(x) u' = 1/x v' = 1 v = xBy parts formula: uv - ∫u'v dx Therefore we have: xln(x) - ∫x1/x dx = xln(x) - ∫1 dx = xln(x) - x (+c)

Cobalt and Nickel

First combine the x-parts of the equation: 4x - 2x = 2x Next move the "number parts" so they are all on the same side: 2x + 8 = 10 ---> 2x = 2 Then divide through by 2 to move the 2 from the...