What is the integral of e^xsqrt(x) ?

The integral of e^xsqrt(x) is e^xsqrt(x)-(sqrt(pi))/2 \erfi(sqrt(x))+C

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integral of e^xsqrt(x)

\int e^{x} x d x

e^{x} x - \frac{π}{2} erfi (x) + C

Solution steps

\int e^{x} x d x

Apply Integration By Parts

: e^{x} x - \int \frac{e ^{x}}{2 x} d x

= e^{x} x - \int \frac{e ^{x}}{2 x} d x

\int \frac{e ^{x}}{2 x} d x = \frac{π}{2} erfi (x)

= e^{x} x - \frac{π}{2} erfi (x)

Add a constant to the solution

= e^{x} x - \frac{π}{2} erfi (x) + C

\frac{1}{( s - 3 ) ^{2} + 3}

\int \frac{35 x ^{4} - 3}{7 x ^{5} - 3 x} d x

(- 7, - 3), (- 5, - 8)

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

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

What is the integral of e^xsqrt(x) ?
The integral of e^xsqrt(x) is e^xsqrt(x)-(sqrt(pi))/2 \erfi(sqrt(x))+C