const data = {
  name: "积分",
  code: "calculous",
  source: "calculous",
  children: [
    {
      output: "\\frac{\\mathrm{d}}{\\mathrm{d}x}x^n=nx^{n-1} ",
      source: "calculous_1",
    },
    {
      output: "\\frac{\\mathrm{d}}{\\mathrm{d}x}e^{ax}=a\\,e^{ax} ",
      source: "calculous_2",
    },
    {
      output: "\\frac{\\mathrm{d}}{\\mathrm{d}x}\\ln(x)=\\frac{1}{x} ",
      source: "calculous_3",
    },
    {
      output: "\\frac{\\mathrm{d}}{\\mathrm{d}x}\\sin x=\\cos x ",
      source: "calculous_4",
    },
    {
      output: "\\frac{\\mathrm{d}}{\\mathrm{d}x}\\cos x=-\\sin x ",
      source: "calculous_5",
    },
    {
      output: "\\int k\\mathrm{d}x = kx+C ",
      source: "calculous_6",
    },
    {
      output: "\\frac{\\mathrm{d}}{\\mathrm{d}x}\\tan x=\\sec^2 x ",
      source: "calculous_7",
    },
    {
      output: "\\frac{\\mathrm{d}}{\\mathrm{d}x}\\cot x=-\\csc^2 x ",
      source: "calculous_8",
    },
    {
      output: "\\int \\frac{1}{x}\\mathrm{d}x= \\ln \\left| x \\right| +C ",
      source: "calculous_9",
    },
    {
      output: "\\int \\frac{1}{\\sqrt{1-x^{2}}}\\mathrm{d}x= \\arcsin x +C ",
      source: "calculous_10",
    },
    {
      output: "\\int \\frac{1}{1+x^{2}}\\mathrm{d}x= \\arctan x +C ",
      source: "calculous_11",
    },
    {
      output:
        "\\int u \\frac{\\mathrm{d}v}{\\mathrm{d}x}\\,\\mathrm{d}x=uv-\\int \\frac{\\mathrm{d}u}{\\mathrm{d}x}v\\,\\mathrm{d}x ",
      source: "calculous_12",
    },
    {
      output:
        "f(x) = \\int_{-\\infty}^\\infty  \\hat f(x)\\xi\\,e^{2 \\pi i \\xi x}  \\,\\mathrm{d}\\xi ",
      source: "calculous_13",
    },
    {
      output:
        "\\int x^{\\mu}\\mathrm{d}x=\\frac{x^{\\mu +1}}{\\mu +1}+C, \\left({\\mu \\neq -1}\\right) ",
      source: "calculous_14",
    },
  ],
};

export default data;
