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

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

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integral of 2cos(x)-2sin(x)

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

2 sin (x) + 2 cos (x) + C

Solution steps

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

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

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

= 2 sin (x) - (- 2 cos (x))

Simplify

= 2 sin (x) + 2 cos (x)

Add a constant to the solution

= 2 sin (x) + 2 cos (x) + C

\int - 2 x cos (8 x) d x

3 x - 5

\frac{5}{s ( 4 s ^{2} + 4 s + 1 )}

x \to 3 lim (- x 6 x - 8)

\int_{- \infty}^{1} 3^{x} d x

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