What is the integral of 30+cos(x) ?

The integral of 30+cos(x) is 30x+sin(x)+C

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integral of 30+cos(x)

\int 30 + cos (x) d x

30 x + sin (x) + C

Solution steps

\int 30 + 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 30 d x + \int cos (x) d x

\int 30 d x = 30 x

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

= 30 x + sin (x)

Add a constant to the solution

= 30 x + sin (x) + C

(11.5) (2.1)

y^{^{'}} + 4 y = 5 sin (e^{4 x})

\int_{1}^{e} 7 t^{2} ln (t) d t

x^{2} + x - 3

\frac{\partial}{\partial y} (3 x^{2} y^{4} - 3)