Integral of $$$\tan{\left(x \right)} \sec{\left(x \right)}$$$
The calculator will find the integral/antiderivative of $$$\tan{\left(x \right)} \sec{\left(x \right)}$$$, with steps shown.
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Solution
The integral of $$$\tan{\left(x \right)} \sec{\left(x \right)}$$$ is $$$\int{\tan{\left(x \right)} \sec{\left(x \right)} d x} = \sec{\left(x \right)}$$$:
$${\color{red}{\int{\tan{\left(x \right)} \sec{\left(x \right)} d x}}} = {\color{red}{\sec{\left(x \right)}}}$$
Therefore,
$$\int{\tan{\left(x \right)} \sec{\left(x \right)} d x} = \sec{\left(x \right)}$$
Add the constant of integration:
$$\int{\tan{\left(x \right)} \sec{\left(x \right)} d x} = \sec{\left(x \right)}+C$$
Answer
$$$\int \tan{\left(x \right)} \sec{\left(x \right)}\, dx = \sec{\left(x \right)} + C$$$A