What is the integral of 3cos(x)+3sqrt(x) ?

The integral of 3cos(x)+3sqrt(x) is 3sin(x)+2x^{3/2}+C

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integral of 3cos(x)+3sqrt(x)

\int 3 cos (x) + 3 x d x

3 sin (x) + 2 x^{\frac{3}{2}} + C

Solution steps

\int 3 cos (x) + 3 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 3 cos (x) d x + \int 3 x d x

\int 3 cos (x) d x = 3 sin (x)

\int 3 x d x = 2 x^{\frac{3}{2}}

= 3 sin (x) + 2 x^{\frac{3}{2}}

Add a constant to the solution

= 3 sin (x) + 2 x^{\frac{3}{2}} + C

\frac{\partial}{\partial x} (x e^{x y + 1})

\frac{\partial}{\partial y} (2 x sin (x^{2} y))

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

(- 8, - 14), (61, - 32)

- \frac{d y}{d x} = 4 x^{3} y

What is the integral of 3cos(x)+3sqrt(x) ?
The integral of 3cos(x)+3sqrt(x) is 3sin(x)+2x^{3/2}+C