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I'm new to differential equations and I am wondering if I solved this one correctly or if it's entirely wrong. Is it a differential equation at all?

for

12x^{3}+ 6x^{2}+ 9x

[itex]\int[/itex][itex]\frac{dy}{dx}[/itex] = [itex]\int[/itex]12x^{3}+ 6x^{2}+ 9x (the boundaries being 1 and 2)

[itex]\int[/itex]dy = [itex]\int[/itex]12x^{3}+ 6x^{2}+ 9x

y = [itex]\int[/itex]12x^{3}+ 6x^{2}+ 9x

y = [itex]\frac{12x^{4}}{4}[/itex] + [itex]\frac{6x^{3}}{3}[/itex] + [itex]\frac{9x^{2}}{2}[/itex]]

y = [3(2)^{4}+ 2(2)^{3}+ 4.5(2)^{2}] - [3(1)^{4}+ 2(1)^{3}+ 4.5(1)^{2}]

y = [48 + 16 + 18] - [9.5]

y = [76] - [9.5]

y = 66.5

Thanks,

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# Is this PDA correct?

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