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

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

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Your Input

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

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 $$$c=2 \sin{\left(2 \right)}$$$:

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

Therefore,

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

Add the constant of integration:

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

Answer

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


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