Formula:6795

Digital Library of Mathematical Functions ID 19.2.E11

${\displaystyle{\displaystyle\mathrm{cel}\left(k_{c},p,a,b\right)=\int_{0}^{\pi/2}\frac{a{\cos^{2}}\theta+b{\sin^{2}}\theta}{{\cos^{2}}\theta+p{\sin^{2}}\theta}\frac{\mathrm{d}\theta}{\sqrt{{\cos^{2}}\theta+k_{c}^{2}{\sin^{2}}\theta}},}}$

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
• ${\displaystyle{\displaystyle a}}$: polynomial
• ${\displaystyle{\displaystyle b}}$: real parameter
• ${\displaystyle{\displaystyle p}}$: real parameter
• ${\displaystyle{\displaystyle k_{c}}}$: real parameter not equal to zero
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