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

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

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integral of-cos(x)+sin(x)+C

\int - cos (x) + sin (x) + C d x

- sin (x) - cos (x) + C x + C

Solution steps

\int - cos (x) + sin (x) + C 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 cos (x) d x + \int sin (x) d x + \int C d x

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

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

\int C d x = C x

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

Add a constant to the solution

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

\frac{d ^{3} x}{d t ^{3}} - 3 x = 0

y + 3 y^{4} = (y^{6} + 3 x) \frac{d y}{d x}

\frac{d}{d x} (2 arctan (x^{5}))

- 6 - 2 x

\int \frac{1}{( 1 - x ) ( x ^{3} - 3 x ^{2} + 3 x - 1 )} d x

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