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

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

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integral of 5xsqrt(x)+2

\int 5 x x + 2 d x

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

Solution steps

\int 5 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 5 x x d x + \int 2 d x

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

\int 2 d x = 2 x

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

Add a constant to the solution

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

\frac{d}{d x} (2 (e^{x} cos (x) - e^{x} sin (x)))

f (x) = \frac{1}{2} x - \frac{1}{10}

f (x) = \frac{4}{3} π x^{3}

k = 5 \sum \infty \frac{k + 7}{k + 6}

\frac{d}{d x} (\frac{tan ( x ) - 3}{sec ( x )})

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