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Approximate Evaluation of ∫ are sin F(t) dt
Published online by Cambridge University Press: 03 November 2016
Extract
There are not many integrals of the type ∫ arc sin F(t) dt whose values can be expressed in terms of functions already defined. Nor is the inverse sine function allowed to play its free part in suggesting what new functions are necessary for the evaluation of integrals. The moment an inverse sine appears in an integral, the integrand is transformed into one involving the direct function.
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- Copyright © Mathematical Association 1928
References
page 82 note * Gibson, Introduction to the Calculus, p. 116; Caunt, Infinitesimal Calculus, p. 478.