{"height":"190","title":"\u222bsin(x)cos(x)dx","url":"https://randommemory.hatenablog.com/entry/2022/04/23/233405","author_name":"derwind","provider_url":"https://hatena.blog","description":"\u307c\u3093\u3084\u308a\u3068\u898b\u3066\u3044\u308b\u3068$$ \\begin{align*} \\int \\sin x \\cos x dx \\end{align*} $$\u3068\u3044\u3046\u30cd\u30bf\u304c\u3042\u3063\u305f\u3002\u66f0\u304f $\\sin x \\cos x = \\frac{1}{2} \\sin 2x$ \u306a\u306e\u3067\u3001$$ \\begin{align} \\int \\sin x \\cos x dx = \\frac{1}{2} \\int \\sin 2x dx = - \\frac{1}{4} \\cos 2x + C \\tag{1} \\end{align} $$\u3068\u306e\u3053\u3068\u3067\u3042\u308b\u3002\u306a\u308b\u307b\u3069\u3002\u3057\u304b\u3057\u3001$\\frac{d \\sin x}{dx} = \\cos x$ \u3067\u3082\u3042\u308b\u306e\u3067\u3001$$ \\be\u2026","width":"100%","image_url":null,"published":"2022-04-23 23:34:05","type":"rich","version":"1.0","blog_url":"https://randommemory.hatenablog.com/","provider_name":"Hatena Blog","blog_title":"\u3089\u3093\u3060\u3080\u306a\u8a18\u61b6","categories":["math-other"],"author_url":"https://blog.hatena.ne.jp/derwind/","html":""}