What is the integral of 2-2cos(x) ?

The integral of 2-2cos(x) is 2x-2sin(x)+C

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integral of 2-2cos(x)

\int 2 - 2 cos (x) d x

2 x - 2 sin (x) + C

Solution steps

\int 2 - 2 cos (x) d x

Apply the Sum Rule:

\int f (x) \pm g (x) d x = \int f (x) d x \pm \int g (x) d x

= \int 2 d x - \int 2 cos (x) d x

\int 2 d x = 2 x

\int 2 cos (x) d x = 2 sin (x)

= 2 x - 2 sin (x)

Add a constant to the solution

= 2 x - 2 sin (x) + C

\frac{1}{3} x^{3} - 4 x^{2} + 17 x + 13

\int 5 e^{8 - 4 x} - 5 d x

\frac{\partial}{\partial x} (∣ A x ∣^{2})

f (x) = e^{- 3.5 x^{2}}

\int \frac{1}{n ^{2}}