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Formula:3010

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Digital Library of Mathematical Functions ID 6.16.E3

R n ⁢ ( x ) = 1 2 ⁢ ∫ 0 x ( 1 sin ⁡ t - 1 t ) ⁢ sin ⁡ ( 2 ⁢ n ⁢ t ) ⁢ d t . subscript 𝑅 𝑛 𝑥 1 2 superscript subscript 0 𝑥 1 𝑡 1 𝑡 2 𝑛 𝑡 𝑡 {\displaystyle{\displaystyle R_{n}(x)=\frac{1}{2}\int_{0}^{x}\left(\frac{1}{% \sin t}-\frac{1}{t}\right)\sin\left(2nt\right)\mathrm{d}t.}}


Constraint(s)

Symbols List

  • d x 𝑥 {\displaystyle{\displaystyle\mathrm{d}\NVar{x}}} : differential of x
  • ∫ {\displaystyle{\displaystyle\int}} : integral
  • sin ⁡ z 𝑧 {\displaystyle{\displaystyle\sin\NVar{z}}} : sine function
  • x 𝑥 {\displaystyle{\displaystyle x}} : real variable
  • n 𝑛 {\displaystyle{\displaystyle n}} : nonnegative integer
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