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$$$\tan{\left(x \right)} \sec{\left(x \right)}$$$の積分
関連する計算機: 定積分・広義積分計算機
入力内容
$$$\int \tan{\left(x \right)} \sec{\left(x \right)}\, dx$$$ を求めよ。
解答
$$$\tan{\left(x \right)} \sec{\left(x \right)}$$$ の不定積分は $$$\int{\tan{\left(x \right)} \sec{\left(x \right)} d x} = \sec{\left(x \right)}$$$ です:
$${\color{red}{\int{\tan{\left(x \right)} \sec{\left(x \right)} d x}}} = {\color{red}{\sec{\left(x \right)}}}$$
したがって、
$$\int{\tan{\left(x \right)} \sec{\left(x \right)} d x} = \sec{\left(x \right)}$$
積分定数を加える:
$$\int{\tan{\left(x \right)} \sec{\left(x \right)} d x} = \sec{\left(x \right)}+C$$
解答
$$$\int \tan{\left(x \right)} \sec{\left(x \right)}\, dx = \sec{\left(x \right)} + C$$$A
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