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Kernel: SageMath (stable)
for i in range(10): print(i) sleep(1)
0 1 2 3 4 5 6 7 8 9
2 + 3
5

foo

  • a

  • α\alpha

2/3
2/3

Problem number one

  1. Integrate sin(x2)sin(x^2) with respect to xx

show(integrate(sin(x^2),x))
116π((i+1)2erf((12i+12)2x)+(i1)2erf((12i12)2x)(i1)2erf(ix)+(i+1)2erf((1)14x))\renewcommand{\Bold}[1]{\mathbf{#1}}\frac{1}{16} \, \sqrt{\pi} {\left(\left(i + 1\right) \, \sqrt{2} \operatorname{erf}\left(\left(\frac{1}{2} i + \frac{1}{2}\right) \, \sqrt{2} x\right) + \left(i - 1\right) \, \sqrt{2} \operatorname{erf}\left(\left(\frac{1}{2} i - \frac{1}{2}\right) \, \sqrt{2} x\right) - \left(i - 1\right) \, \sqrt{2} \operatorname{erf}\left(\sqrt{-i} x\right) + \left(i + 1\right) \, \sqrt{2} \operatorname{erf}\left(\left(-1\right)^{\frac{1}{4}} x\right)\right)}
import astropy