2.501 Integrals of the form $\int R\left(\text{sin}x,\text{cos}x\right)\text{d}x$ can always be reduced to integrals of rational functions by means of the substitution $t\text{=tan}\frac{x}{2}$.

2.502 If $R\text{(sin}x\text{,cos}x\text{)}$ satisfies the relation $R\text{(sin}x\text{,cos}x\text{)=}-R\text{(}-\text{sin}x\text{,cos}x\text{),}$it is convenient to make the substitution $t\text{}\text{=}\text{}\text{cos}\text{}x\text{.}$

2.503 If this function ...

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