Question

How does one get $\int_{-\pi}^{\pi} \sin(nx) \cos(nx) dx = \frac{\sin^2(nx)}{2n} |_{-\pi}^{\pi}$?

score 58 · Answer 1 · 2018-10-30 23:53:39

58

Views

How does one get $\int_{-\pi}^{\pi} \sin(nx) \cos(nx) dx = \frac{\sin^2(nx)}{2n} |_{-\pi}^{\pi}$?

Published on 30 Oct 2018 - 23:53

score 4.1k · Answer 2 · 2026-02-23 02:46:59

4.1k

Views

If the function is neither even nor odd ,is its fourier series coefficient a complex? or is this wrong?

Published on 23 Feb 2026 - 2:46

score 448 · Answer 3 · 2026-03-25 12:49:50

448

Views

How can I solve for coefficients $B_n$ in the sol. of heat equation / Fourier sine series?

Published on 25 Mar 2026 - 12:49

score 2k · Answer 4 · 2018-11-01 23:42:36

2k

Views

The Fourier series of the function $f:[0,L] \to \mathbb{R}$ extended periodically of period $2L$ is unique?

Published on 01 Nov 2018 - 23:42

score 42 · Answer 5 · 2026-03-27 02:34:07

42

Views

Integrating with 3 products (Quantum Mechanics)

Published on 27 Mar 2026 - 2:34

score 195 · Answer 6 · 2018-11-02 13:34:34

195

Views

How to evaluate $\int_{0}^{2\pi}x^2\ln (1-\cos x)dx$?

Published on 02 Nov 2018 - 13:34

score 474 · Answer 7 · 2026-03-27 14:55:07

474

Views

Fourier Series of a NonSymmetric Function with different intervals

Published on 27 Mar 2026 - 14:55

score 231 · Answer 8 · 2018-11-03 18:13:08

231

Views

Fourier Series in any interval [a,b]

Published on 03 Nov 2018 - 18:13

score 250 · Answer 9 · 2018-11-04 12:23:56

250

Views

Sine Fourier Series for $\min(x, 1 - x)$.

Published on 04 Nov 2018 - 12:23

score 91 · Answer 10 · 2026-03-27 00:58:53

91

Views

Closed form for $c_m = \sum_{n=|m|}^{\infty} \left(\dfrac{1}{2}\right)^{2n} (-1)^{m+n}{2n \choose m+n}$, $m$ integer

Published on 27 Mar 2026 - 0:58

score 501 · Answer 11 · 2018-11-04 19:59:03

501

Views

When to use half period and when use full period for fourier series coefficients

Published on 04 Nov 2018 - 19:59

score 839 · Answer 12 · 2018-11-04 20:48:15

839

Views

Show that the function in the Fourier series of a periodic function of period $2L$ are orthogonals

Published on 04 Nov 2018 - 20:48

score 92 · Answer 13 · 2018-11-05 14:36:56

92

Views

Coefficient of Fourier Series

Published on 05 Nov 2018 - 14:36

score 1.5k · Answer 14 · 2026-03-25 22:11:11

1.5k

Views

Why are the Fourier Series an orthogonal basis?

Published on 25 Mar 2026 - 22:11

score 59 · Answer 15 · 2018-11-07 23:58:33

59

Views

How to prove this equation with fourier transformation?

Published on 07 Nov 2018 - 23:58

List Question

How does one get $\int_{-\pi}^{\pi} \sin(nx) \cos(nx) dx = \frac{\sin^2(nx)}{2n} |_{-\pi}^{\pi}$?

If the function is neither even nor odd ,is its fourier series coefficient a complex? or is this wrong?

How can I solve for coefficients $B_n$ in the sol. of heat equation / Fourier sine series?

The Fourier series of the function $f:[0,L] \to \mathbb{R}$ extended periodically of period $2L$ is unique?

Integrating with 3 products (Quantum Mechanics)

How to evaluate $\int_{0}^{2\pi}x^2\ln (1-\cos x)dx$?

Fourier Series of a NonSymmetric Function with different intervals

Fourier Series in any interval [a,b]

Sine Fourier Series for $\min(x, 1 - x)$.

Closed form for $c_m = \sum_{n=|m|}^{\infty} \left(\dfrac{1}{2}\right)^{2n} (-1)^{m+n}{2n \choose m+n}$, $m$ integer

When to use half period and when use full period for fourier series coefficients

Show that the function in the Fourier series of a periodic function of period $2L$ are orthogonals

Coefficient of Fourier Series

Why are the Fourier Series an orthogonal basis?

How to prove this equation with fourier transformation?

Trending Questions

Popular # Hahtags

Popular Questions