Formula:2131

Digital Library of Mathematical Functions ID 4.26.E9

${\displaystyle{\displaystyle\int_{0}^{\pi}\sin\left(mt\right)\sin\left(nt\right)\mathrm{d}t=0,}}$

Constraint(s)

${\displaystyle{\displaystyle m\neq n}}$

Symbols List

• ${\displaystyle{\displaystyle\pi}}$: the ratio of the circumference of a circle to its diameter
• ${\displaystyle{\displaystyle\mathrm{d}\NVar{x}}}$: differential of x
• ${\displaystyle{\displaystyle\int}}$: integral
• ${\displaystyle{\displaystyle\sin\NVar{z}}}$: sine function
• ${\displaystyle{\displaystyle m}}$: integer
• ${\displaystyle{\displaystyle n}}$: integer
 

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