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To integrate ln(x) we will have to use integration by parts. 

The equation for integration by parts is: (then equation written on the whiteboard).

In the case of ln(x), let v=ln(x) ...

(x-2)(x+2) because the x values cancel out leaving the integer and x^2 value.

Volume=81 cm³ 

b=81/2x² 

L=4x+4(2x)+ 4(b)

L=4(x)+4(2x)+4(81/2x²) 

L=12x+ 162/x²

Make a the subject of the formula from : p = (3a + 5)/(4 - a)

When doing questions like these it is best to remember that if you multiply one side of the equation you have to do the same thing on t...

2x - 9 > 3, 2x > 12, x > 6