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

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

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integral of sin(x)-cos(x)

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

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

Solution steps

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

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

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

= - cos (x) - sin (x)

Add a constant to the solution

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

n = 1 \sum \infty (- 3)^{n}

\frac{d y}{d x} = \frac{x - 3}{y + 5}

n = 1 \sum \infty 3 \cdot (\frac{1}{5})^{n}

n \to \infty lim (n^{2} e^{- 3 n})

\frac{( s - 3 )}{( s ^{2} + 4 s + 13 )}

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