\pytag{ans.101}{%
- \frac{1}{6}%
}
\pytag{ans.102}{%
1 + \frac{x^{2}}{2} + \frac{5 x^{4}}{24} + O\left(x^{6}\right)%
}
\pytag{ans.103}{%
- \frac{4 x \sin{\left (x^{2} \right )} \cos{\left (x^{2} \right )}}{x + 1} - \frac{\cos^{2}{\left (x^{2} \right )}}{\left(x + 1\right)^{2}}%
}
\pytag{ans.104}{%
x^{2} \sin{\left (x \right )} + 2 x \cos{\left (x \right )} - 2 \sin{\left (x \right )}%
}
\pytag{ans.105}{%
-2 + \frac{\pi^{2}}{4}%
}
\pytag{ans.106}{%
9 f{\left (x \right )} + \frac{d^{2}}{d x^{2}} f{\left (x \right )} = 1%
}
\pytag{ans.107}{%
f{\left (x \right )} = C_{1} \sin{\left (3 x \right )} + C_{2} \cos{\left (3 x \right )} + \frac{1}{9}%
}
\pytag{ans.108}{%
9 f{\left (x \right )} + \frac{d^{2}}{d x^{2}} f{\left (x \right )} = 1%
}
\pytag{ans.109}{%
f{\left (x \right )} = C_{1} \sin{\left (3 x \right )} + C_{2} \cos{\left (3 x \right )} + \frac{1}{9}%
}
\pytag{ans.110}{%
\int_{0}^{2} \cos{\left (x \right )}\, dx%
}
\pytag{ans.111}{%
\sin{\left (2 \right )}%
}
\pytag{ans.201}{%
- \frac{1}{6}%
}
\pytag{ans.202}{%
1 + \frac{x^{2}}{2} + \frac{5 x^{4}}{24} + O\left(x^{6}\right)%
}
\pytag{ans.203}{%
- \frac{4 x \sin{\left (x^{2} \right )} \cos{\left (x^{2} \right )}}{x + 1} - \frac{\cos^{2}{\left (x^{2} \right )}}{\left(x + 1\right)^{2}}%
}
\pytag{ans.204}{%
x^{2} \sin{\left (x \right )} + 2 x \cos{\left (x \right )} - 2 \sin{\left (x \right )}%
}
\pytag{ans.205}{%
-2 + \frac{\pi^{2}}{4}%
}
\pytag{ans.206}{%
9 f{\left (x \right )} + \frac{d^{2}}{d x^{2}} f{\left (x \right )} = 1%
}
\pytag{ans.207}{%
f{\left (x \right )} = C_{1} \sin{\left (3 x \right )} + C_{2} \cos{\left (3 x \right )} + \frac{1}{9}%
}
\pytag{ans.208}{%
9 f{\left (x \right )} + \frac{d^{2}}{d x^{2}} f{\left (x \right )} = 1%
}
\pytag{ans.209}{%
f{\left (x \right )} = C_{1} \sin{\left (3 x \right )} + C_{2} \cos{\left (3 x \right )} + \frac{1}{9}%
}
\pytag{ans.210}{%
\int_{0}^{2} \cos{\left (x \right )}\, dx%
}
\pytag{ans.211}{%
\sin{\left (2 \right )}%
}
\pytag{ans.301}{%
- 2 \sin{\left (x \right )} \cos{\left (x \right )}%
}
\pytag{ans.302}{%
- e^{- x} \sin{\left (x \right )} - e^{- x} \cos{\left (x \right )}%
}
\pytag{ans.401}{%
- 2 \sin{\left (x \right )} \cos{\left (x \right )}%
}
\pytag{ans.402}{%
- e^{- x} \sin{\left (x \right )} - e^{- x} \cos{\left (x \right )}%
}