```python
from sympy import symbols, Integral, integrate

x = symbols('x')

f = x**4*(1 - x)**4/(1 + x**2)
f
```




$\displaystyle \frac{x^{4} \left(1 - x\right)^{4}}{x^{2} + 1}$




```python
F = Integral(f, x)
F
```




$\displaystyle \int \frac{x^{4} \left(1 - x\right)^{4}}{x^{2} + 1}\, dx$




```python
F.doit()
```




$\displaystyle \frac{x^{7}}{7} - \frac{2 x^{6}}{3} + x^{5} - \frac{4 x^{3}}{3} + 4 x - 4 \operatorname{atan}{\left(x \right)}$




```python
F = integrate(f, x)
F
```




$\displaystyle \frac{x^{7}}{7} - \frac{2 x^{6}}{3} + x^{5} - \frac{4 x^{3}}{3} + 4 x - 4 \operatorname{atan}{\left(x \right)}$




```python
F = integrate(f, (x, 0, 1))
F
```




$\displaystyle \frac{22}{7} - \pi$



37367c890323b4f40a5bf48f6fb6de56e1f0355c
ipynb
Jupyter Notebook
Integral.ipynb
mfkiwl/GMPE340
3602b8ba859a2c7db2cab96862472597dc1ac793
MIT
2021-09-07T09:36:36.000Z
2021-09-07T09:36:36.000Z
Integral.ipynb
mfkiwl/GMPE340
3602b8ba859a2c7db2cab96862472597dc1ac793
MIT
Integral.ipynb
mfkiwl/GMPE340
3602b8ba859a2c7db2cab96862472597dc1ac793
MIT
2021-09-20T18:48:20.000Z
2021-09-20T18:48:20.000Z
Qwen/Qwen-72B
1. YES
2. YES