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

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

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integral of cos(x)+sin(x)

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

sin (x) - cos (x) + C

Solution steps

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

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

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

= sin (x) - cos (x)

Add a constant to the solution

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

\int \frac{x ^{4} - 5 x ^{3} + 7 x}{x} d x

x \to 6 lim (\frac{g ( x )}{f ( x )})

\int \frac{cos ^{2} ( x )}{sin ^{2} ( x )} d x

\frac{d}{d x} (7 x^{2} - 5 x + 3)

\frac{( 3 e ^{3 x} )}{3}

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