id: 06655909
dt: j
an: 2016f.01159
au: Karjanto, Natanael; Yermukanova, Binur
ti: Integral of radical trigonometric functions revisited.
so: Math. Enthus. 13, No. 3, 243-254 (2016).
py: 2016
pu: Information Age Publishing (IAP), Charlotte, NC; University of Montana,
Department of Mathematical Sciences, Missoula, MT
la: EN
cc: I50
ut: integral calculus; techniques of integration; radical trigonometric
functions; integral of radical sine function; integral of radical sine
function; rationalizing numerator; combining identities; twice
trigonometric substitutions; variable shift; cardioids; length
ci:
li: http://scholarworks.umt.edu/tme/vol13/iss3/5
ab: Summary: This article revisits an integral of radical trigonometric
functions. It presents several methods of integration where the
integrand takes the form $\sqrt{1\pm \sin{x}}$ or $\sqrt{1\pm
\cos{x}}$. The integral has applications in calculus where it appears
as the length of cardioid represented in polar coordinates.
rv: