What is the integral of ye^{-x^2} ?

The integral of ye^{-x^2} is y(sqrt(pi))/2 \erf(x)+C

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integral of ye^{-x^2}

\int y e^{- x^{2}} d x

y \frac{π}{2} erf (x) + C

Solution steps

\int y e^{- x^{2}} d x

Take the constant out:

\int a \cdot f (x) d x = a \cdot \int f (x) d x

= y \cdot \int e^{- x^{2}} d x

Use the nonelementary integral:

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

= y \frac{π}{2} erf (x)

Add a constant to the solution

= y \frac{π}{2} erf (x) + C

(- 5, - 3), (5, 2)

\int_{0}^{2 π} 2 a (sin (\frac{t}{2})) d t

n = 1 \sum \infty n^{2} \cdot x^{n}

4 2 x^{12} + sin (4 x)

\frac{d}{d x} (- \frac{12 x}{( x ^{2} + 3 ) ^{2}})

What is the integral of ye^{-x^2} ?
The integral of ye^{-x^2} is y(sqrt(pi))/2 \erf(x)+C