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$X_n(x)=\sin\frac{n\pi}l x \rightarrow f(x)=1$
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$X_n(x)=\sin\frac{n\pi}l x \rightarrow f(x)=-x^2+lx$
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$X_n(x)=\sin\frac{2n+1}{2l} \pi x \rightarrow f(x)=1$
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$X_n(x)=\sin\frac{2n+1}{2l} \pi x \rightarrow f(x)=-x^2+lx$
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$X_n(x)=\cos\frac{n\pi}l x \rightarrow f(x)=1$
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$X_n(x)=\cos\frac{n\pi}l x \rightarrow f(x)=-x^2+lx$
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