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