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The first step is to multiply out the bracket

3x³ - 3x² - 36x = 0

Then remove the common factor 3x

3x(x² - x - 12) = 0

Then factorise the brack...

7x = 3x + 24 4x = 24 x = ²⁴/₄ x = 6

= [4x - 1/3x³ - 3/4x⁴]¹_-2 = (4(1) - 1/3(1)³ - 3/4(1)⁴) - (4(-2) - 1/3(-2)³ - 3/4(-2)⁴) =(2 11/12) - (-8 + 8/3 - 12) ...

First: (x + 2)(x + 3) = x² + 5x + 6

Second: (x² + 5x + 6)(x + 6) = x³ + 5x² + 6x + 6x² + 30x + 36 = x³ + 11x² + 36x +36<...

In order to do this question one has to first recognise that this is a product and thus has to be solved using Integration by parts. Firstly write out the formula: ∫u.dv/dx dx = uv - ∫v. du/dx dx ...