I am able to calculate $\int_{0}^{\infty} f(x) cos(x) dx$ for $f(x)$ being even by taking the real part of Complex Fourier transform (at $\omega = 1$). The two-sided sine transform is $0$, as $f(x)$ is even.

Is there a way to calculate the one-sided integral $\int_{0}^{\infty} f(x) sin(x) dx$ from the complex fourier transform $\int_{-\infty}^{\infty} f(x) e^{i \omega x} dx$ when f(x) is even?


Your Answer

By clicking “Post Your Answer”, you agree to our terms of service, privacy policy and cookie policy

Browse other questions tagged or ask your own question.