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# Integrate

#### Calculated Results:

$\int_{-oo}^{oo}e^{- x^{2}}dx = \sqrt{\pi}$
##### Usage

Use x, y, or z as variables. Any other variables are invalid.

For definite integral, append the upper and low bound as numbers separated by comma. For example, append ,2,10 . Using oo (two small o) for infinity.

The integral will always be calculated based on variable x. Other variables are considered constant.

For example:
3x**2 + 5x**2 +sin**2(x) for $f(x) = 3 x^{2} + 5 x^{2} + \sin^{2}{\left(x \right)}$ $\int f(x)dx = \frac{8 x^{3}}{3} + \frac{x}{2} - \frac{\sin{\left(x \right)} \cos{\left(x \right)}}{2}$ 3x**2+24xy+48y**2 for $f(x) = 3 x^{2} + 24 x y + 48 y^{2}$ $\int f(x)dx = x^{3} + 12 x^{2} y + 48 x y^{2}$ 1/x**3,2,oo for $f(x) = \frac{1}{x^{3}}$ $\int_{2}^{oo}f(x)dx = \frac{1}{8}$