What is the integral of xsqrt(x)+2 ?

The integral of xsqrt(x)+2 is 2/5 x^{5/2}+2x+C

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integral of xsqrt(x)+2

\int x x + 2 d x

\frac{2}{5} x^{\frac{5}{2}} + 2 x + C

Solution steps

\int x x + 2 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 x d x + \int 2 d x

\int x x d x = \frac{2}{5} x^{\frac{5}{2}}

\int 2 d x = 2 x

= \frac{2}{5} x^{\frac{5}{2}} + 2 x

Add a constant to the solution

= \frac{2}{5} x^{\frac{5}{2}} + 2 x + C

\int \frac{1}{( 5 + x ^{2} )} d x

n = 1 \sum \infty \frac{1}{5 n ^{2}}

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

y = cos^{2} (3 x - 1)

x \to 0 - lim (\frac{8}{5 x ^{\frac{1}{2}}})

What is the integral of xsqrt(x)+2 ?
The integral of xsqrt(x)+2 is 2/5 x^{5/2}+2x+C