1 | initial version |

What makes me fear is the following:

```
sage: a = integrate(sqrt(1-1/4*cosh(x)^2),x)
sage: a.full_simplify()
cosh(x)
```

Which is definitely a wrong answer :(

Concerning your third question, the second compopent of the result of `numerical_integral()`

is the error bound:

```
sage: numerical_integral(sqrt(1-1/4*cosh(x)^2),0,0.1)
(0.08655430733928117, 9.609458488855213e-16)
```

2 | No.2 Revision |

What makes me fear is the following:

```
sage: a = integrate(sqrt(1-1/4*cosh(x)^2),x)
sage: a.full_simplify()
cosh(x)
```

Which is definitely a wrong answer :(

Concerning your ~~third ~~fourth question, the second compopent of the result of `numerical_integral()`

is the error bound:

```
sage: numerical_integral(sqrt(1-1/4*cosh(x)^2),0,0.1)
(0.08655430733928117, 9.609458488855213e-16)
```

3 | No.3 Revision |

What makes me fear is the following:

```
sage: a = integrate(sqrt(1-1/4*cosh(x)^2),x)
sage: a.full_simplify()
cosh(x)
```

Which is definitely a wrong answer :(

Concerning your fourth question, the second ~~compopent ~~component of the result of `numerical_integral()`

is the error bound:

```
sage: numerical_integral(sqrt(1-1/4*cosh(x)^2),0,0.1)
(0.08655430733928117, 9.609458488855213e-16)
```

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