Differential in Weierstrass Substitution

Rarely Tested

Differential in Weierstrass Substitution

Under:

$$t=\tan\frac{x}{2}$$

we have:

$$dx=\frac{2\,dt}{1+t^2}$$

Usage

- Used together with the Weierstrass substitutions to transform trigonometric integrals into rational integrals.

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