prove-that-I-0-sin-pix-sin-2pix-sin-3pix-x-3-pi-3-

Tinku Tara March 20, 2025 Integration 0 Comments

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Question Number 217761 by mnjuly1970 last updated on 20/Mar/25

prove that : I=∫_0 ^( ∞) ((sin(πx)sin(2πx)sin(3πx))/x^3 ) = π^3

p r o v e t h a t :

I = \int_{0}^{\infty} \frac{s i n (π x) s i n (2 π x) s i n (3 π x)}{x^{3}} = π^{3}

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