Solve the system of equations 2x-y=1; x+2y=8 graphically and find the coordinates of the points where corresponding lines intersect y-axis.
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Find the integral value
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$\dfrac {e ^ {(x ^ {2})}} {2} + C$
using substitution
$\color{#FF6800}{\int xe ^ {(x ^ {2})}dx}$
$ $ Substitute $ t = e ^ {(x ^ {2})} $ to simplify integral calculation $ $
$\color{#FF6800}{\int \dfrac {1} {2}dt}$
$\color{#FF6800}{\int \dfrac {1} {2}dt}$
$ $ Using $ \int adx = a \times x $ , calculate the integral $ $
$\color{#FF6800}{\dfrac {1} {2}t}$
$\dfrac {1} {2}\color{#FF6800}{t}$
$ $ Change the substituted $ t = e ^ {(x ^ {2})} $ again $ $
$\dfrac {1} {2}\color{#FF6800}{e ^ {(x ^ {2})}}$
$\color{#FF6800}{\dfrac {1} {2}e ^ {(x ^ {2})}}$
$ $ Calculate the following $ $
$\color{#FF6800}{\dfrac {e ^ {(x ^ {2})}} {2}}$
$\color{#FF6800}{\dfrac {e ^ {(x ^ {2})}} {2}}$
$ $ Add integral constant $ C \in ℝ $ $ $
$\color{#FF6800}{\dfrac {e ^ {(x ^ {2})}} {2} + C}$
Solution search results
Using the \emph{removal of first derivative} method, the differential equation \( \frac{d^{2}y} $\left(d\times n$ $\left(2\right)\right)+P|ffac\left(dy\right)\left(dx\right)+Qy=F$ $dx\right)+Qy=RN\right)$ is transformed as \). For, the differential equation \frac{d^{2}y} $\left(d^{n}\left(2\right)y\right)$ $dx$ $\left(2\right)+2x$ $\left(0C\left(dy\right)\left(dx\right)+\left(x$ $2+1\right)y=\times n3+3x\right)$ the value of $\left(11\right)$
Calculus
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$f\left(x\right)=e^{n}\left(x^{2}-3x+3\right)=0$
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#This question was automatically translated by Qanda $A1$ The proper process $t09$ obtain $m$ knowing that $ts$ local minimum $s$ $s$ $nclonf\left(x\right)=x^{n}\left(2\right)+\times \left(m\right)$ $\left(x\right)is$ Select a $=2e$ in the funclon
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