Fourier's Theorem/Lemma 1/Mistake 1

Source Work

 * :Chapter Two: $\S 2$. Some Important Limits

Mistake

 * $\displaystyle \int^b \psi \left({u}\right) \sin N u \rd u = \sum_{r \mathop = 0}^{m - 1} \int_{a_r}^{a_{r + 1} } \psi \left({u}\right) \sin N u \rd u$

The lower limit is missing from the integral.

It should be:


 * $\displaystyle \int_a^b \psi \left({u}\right) \sin N u \rd u = \sum_{r \mathop = 0}^{m - 1} \int_{a_r}^{a_{r + 1} } \psi \left({u}\right) \sin N u \rd u$