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 12 Generalizing the trick for integrating $\int_{-\infty}^\infty e^{-x^2}\mathrm dx$? 9 Finding the power series for $y$ where $y + \sin(y) = x$ 7 Trace of a differential operator 7 how calculate integral $\int \dot{x} \; dx$ 6 Why does $\int_{-\pi}^{\pi}\sin(nx)e^{inx}$=$-\pi i$?

### Reputation (3,536)

 +5 Analytical closed form for a definite integral +10 Finding the power series for $y$ where $y + \sin(y) = x$ +10 Derivation in simple harmonic motion +10 Finding all solutions of an exponential equation

### Questions (12)

 5 Analytical closed form for a definite integral 4 Numerical solving a constrained system of differential equation 4 Moving to a conformal metric 3 An example of divergent series with the Lerch function 2 An integral from a physical problem

### Tags (89)

 42 calculus × 20 15 sequences-and-series × 4 40 differential-equations × 24 13 special-functions × 9 33 integration × 12 12 differential-geometry × 6 21 pde × 14 12 matrices × 5 18 analysis × 7 12 improper-integrals × 2

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 Mathematics 3,536 rep 1621 Physics 1,926 rep 714 MathOverflow 1,220 rep 1510 Computational Science 131 rep 3 Stack Overflow 101 rep 2