What is the integral of 5cos(x)+2sin(x) ?

The integral of 5cos(x)+2sin(x) is 5sin(x)-2cos(x)+C

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integral of 5cos(x)+2sin(x)

\int 5 cos (x) + 2 sin (x) d x

5 sin (x) - 2 cos (x) + C

Solution steps

\int 5 cos (x) + 2 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 2 sin (x) d x

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

\int 2 sin (x) d x = - 2 cos (x)

= 5 sin (x) - 2 cos (x)

Add a constant to the solution

= 5 sin (x) - 2 cos (x) + C

f (x) = 3 x^{\frac{2}{3}} - 3, at x = 27

\frac{d}{d x} (12 x^{\frac{1}{2}})

\int sin (9)

\int \frac{1}{5 - 3 x ^{2}} d x

\int \frac{e ^{y}}{e ^{y} + 1} d y

What is the integral of 5cos(x)+2sin(x) ?
The integral of 5cos(x)+2sin(x) is 5sin(x)-2cos(x)+C