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Using d'Alemberts soltuion for the vibrating string in one dimension

Find u(1/2,3/2), when l-=1, c=1, f(x) = 0, g(x) = x(1-x)

Now i tried simply substituting this into the solution that is (since f(x)=0)

[tex] u(x,t) = \frac{1}{2} \int_{x-t}^{x+t} g(x) dx [/tex]

but it yields the wrong answer.

Does the length of the string have anything to do with the answer?

Thank you in advance for your help!

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# Some Differential Equation help needed

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