Integral of $$$\sec{\left(2 \right)}$$$

The calculator will find the integral/antiderivative of $$$\sec{\left(2 \right)}$$$, with steps shown.

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Your Input

Find $$$\int \sec{\left(2 \right)}\, dx$$$.

The trigonometric functions expect the argument in radians. To enter the argument in degrees, multiply it by pi/180, e.g. write 45° as 45*pi/180, or use the appropriate function adding 'd', e.g. write sin(45°) as sind(45).

Solution

Apply the constant rule $$$\int c\, dx = c x$$$ with $$$c=\sec{\left(2 \right)}$$$:

$${\color{red}{\int{\sec{\left(2 \right)} d x}}} = {\color{red}{x \sec{\left(2 \right)}}}$$

Therefore,

$$\int{\sec{\left(2 \right)} d x} = x \sec{\left(2 \right)}$$

Add the constant of integration:

$$\int{\sec{\left(2 \right)} d x} = x \sec{\left(2 \right)}+C$$

Answer

$$$\int \sec{\left(2 \right)}\, dx = x \sec{\left(2 \right)} + C$$$A


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