Integral of $$$\sin{\left(a \right)}$$$ with respect to $$$x$$$

The calculator will find the integral/antiderivative of $$$\sin{\left(a \right)}$$$ with respect to $$$x$$$, with steps shown.

Find $$$\int \sin{\left(a \right)}\, dx$$$.

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

$${\color{red}{\int{\sin{\left(a \right)} d x}}} = {\color{red}{x \sin{\left(a \right)}}}$$

Therefore,

$$\int{\sin{\left(a \right)} d x} = x \sin{\left(a \right)}$$

Add the constant of integration:

$$\int{\sin{\left(a \right)} d x} = x \sin{\left(a \right)}+C$$

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