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Table of Integrals, Series, and Products, 8th Edition by Daniel Zwillinger

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2.5–2.6 Trigonometric Functions

2.50 Introduction

2.501 Integrals of the form R(sin x,cos x)dxsi1226_e can always be reduced to integrals of rational functions by means of the substitution t = tanx2si1227_e.

2.502 If R(sin x, cos x)si1228_e satisfies the relation R(sin x, cos x) = R(sin x, cos x) ,si1229_eit is convenient to make the substitution t = cos x.

2.503 If this function ...

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