What is the integral of (5cos(x)+4sin(x)) ?

The integral of (5cos(x)+4sin(x)) is 5sin(x)-4cos(x)+C

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integral of (5cos(x)+4sin(x))

\int (5 cos (x) + 4 sin (x)) d x

5 sin (x) - 4 cos (x) + C

Solution steps

\int 5 cos (x) + 4 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 5 cos (x) d x + \int 4 sin (x) d x

\int 5 cos (x) d x = 5 sin (x)

\int 4 sin (x) d x = - 4 cos (x)

= 5 sin (x) - 4 cos (x)

Add a constant to the solution

= 5 sin (x) - 4 cos (x) + C

\frac{d}{d x} (\frac{x}{tan ( 3 x - 1 )})

\int \frac{ln ( y )}{x y} d y

n = 1 \sum \infty \frac{1}{2 n ^{3}}

\frac{\partial}{\partial x} (x - 2 x - \frac{2}{3} y)

f (x) = x^{4} + 3 x

What is the integral of (5cos(x)+4sin(x)) ?
The integral of (5cos(x)+4sin(x)) is 5sin(x)-4cos(x)+C