Problem 18. Find the Fourier approximation to f(x) = x over the interval [0, 2π] using the orthogonal set of vectors and U3 = COS X. U₁ = 1, You may use the following integrals: C2π 0 r2π 2π 0 u2 =sinx, 1 dx = 2π, sin² x dx = π cos²x dx = π 2πT 2πT - 27 S 0 x dx = 2², x sin x dx = -2π, x cos x dx = 0

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