Formula:2135

Digital Library of Mathematical Functions ID 4.26.E11

${\displaystyle{\displaystyle\int_{0}^{\pi}{\sin^{2}}\left(nt\right)\mathrm{d}t=\int_{0}^{\pi}{\cos^{2}}\left(nt\right)\mathrm{d}t=\tfrac{1}{2}\pi,}}$

Constraint(s)

${\displaystyle{\displaystyle n\neq 0}}$

Symbols List

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

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