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

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

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integral of sin(x)+cos(y)

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

cos (y) x - cos (x) + C

Solution steps

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

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

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

= cos (y) x - cos (x)

Add a constant to the solution

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

\int \frac{9 - x ^{2}}{( x ^{2} )} d x

\int 2 cos (t) sin (t) d t

\int 4 x - 3 d x

\frac{d}{d x} (\frac{x sinh ( x )}{sinh ( 2 x )})

y = \frac{2}{x}, (9, \frac{2}{3})

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