#tangent_half-angle_substitution
Tangent half-angle substitution
Change of variable for integrals involving trigonometric functions
In integral calculus, the tangent half-angle substitution is a change of variables used for evaluating integrals, which converts a rational function of trigonometric functions of into an ordinary rational function of by setting . This is the one-dimensional stereographic projection of the unit circle parametrized by angle measure onto the real line. The general transformation formula is:
Mon 12th
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