Trigonometric Integrals Residue Theorem
Trigonometric Integrals Residue Theorem. In order to use the residue theorem i wanted to make sure that all needed assumptions are satisfied, that is why i wrote it out so precisely in the last sentences. The residue of f at z = 0 is zero (b1 = 0), so the integral is zero.
In mathematics, an identity is an equation which is always true. (more generally, residues can be calculated for any function. In order to use the residue theorem i wanted to make sure that all needed assumptions are satisfied, that is why i wrote it out so precisely in the last sentences.
Not to keep you in suspense, here are the antiderivatives of all six trigonometric functions.
We use trigonometric functions quite often in integration, even when there are no trig. Trigonometry involves calculating angles and sides in triangles. In this section we look at integrals that involve trig functions. But i don't understand why the only poles are inside the unit circle.
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