Gilbert Strang, Calculus, 3rd edition (Wellesley-Cambridge Press; MIT OpenCourseWare RES.18-001) §7.2 Trigonometric Integrals, #34 · Calculus · Techniques of integration

Suppose a Fourier sine series … adds up to … on the…

Suppose a Fourier sine series $A sin x + B sin 2 x + C sin 3 x + \dots$ adds up to $1$ on the interval from $0$ to $π$ . Find $C$ by multiplying all functions (including $1$ ) by $sin 3 x$ and integrating from $0$ to $π$ . ( $A$ and $B$ will disappear.)

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Gilbert Strang, Calculus, 3rd edition (Wellesley-Cambridge Press; MIT OpenCourseWare RES.18-001) · §7.2 Trigonometric Integrals, #34

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