What is the integral of (x^2sqrt(3^3)+5) ?

The integral of (x^2sqrt(3^3)+5) is sqrt(3)x^3+5x+C

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integral of (x^2sqrt(3^3)+5)

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

3 x^{3} + 5 x + C

Solution steps

\int x^{2} 3^{3} + 5 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 x^{2} 3^{3} d x + \int 5 d x

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

\int 5 d x = 5 x

= 3 x^{3} + 5 x

Add a constant to the solution

= 3 x^{3} + 5 x + C

\int \frac{e ^{2 x}}{2 + e ^{x}} d x

\frac{1}{4} x^{2} - \frac{1}{2} ln (x)

\frac{\partial}{\partial x} (x^{2} - 8 x + y^{2} \cdot ln (x - 1))

\int x^{- a} d x

x \to 1 lim (\frac{x ^{3} - x}{x - 1})

What is the integral of (x^2sqrt(3^3)+5) ?
The integral of (x^2sqrt(3^3)+5) is sqrt(3)x^3+5x+C