# How Calculate This integral in MATLAB?

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#### panda1234

##### Full Member level 2
Hi,
How Calculate This integral in MATLAB?
in other word how to define this function?

#### _Eduardo_

##### Full Member level 5
- Solve by numerical methods $x=y^3+e^y$ for $x_0=0$ and $x_1=10$

$x_0=0 \;\;\longrightarrow\;\; y_0=-0.7728829591$
$x_1=10 \;\;\longrightarrow\;\; y_1=1.672217398$

Then if
$x=y^3+e^y\;\;\longrightarrow\;\; dx=(3y^2+e^y)\;dy$

$\displaystyle\int_{0}^{10}{y(x)\;dx}=\displaystyle\int_{y_0}^{y_1}{y(3y^2+e^y)\;dy}= \left. (e^y(y - 1) + \frac{3}{4}y^4) \right |_{y_0}^{y_1}$

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