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Approximate Evaluation of ∫ are sin F(t) dt

Published online by Cambridge University Press:  03 November 2016

V. Naylor
V. Naylor*
Affiliation:
H.M. Dockyard School, Devonport
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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.

Type
Research Article
Information
The Mathematical Gazette , Volume 14 , Issue 193 , March 1928 , pp. 81 - 84
Copyright
Copyright © Mathematical Association 1928

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References

page 82 note * Gibson, Introduction to the Calculus, p. 116; Caunt, Infinitesimal Calculus, p. 478.