Integral de cos(arcsin(x)) dx

                         //                       3                                    \
                         ||  I*acosh(x)        I*x              I*x            | 2|    |
                         ||- ---------- + -------------- - --------------  for |x | > 1|
                         ||      2             _________        _________              |
  /                      ||                   /       2        /       2               |
 |                       ||               2*\/  -1 + x     2*\/  -1 + x                |
 | cos(asin(x)) dx = C + |<                                                            |
 |                       ||                          ________                          |
/                        ||                         /      2                           |
                         ||           asin(x)   x*\/  1 - x                            |
                         ||           ------- + -------------               otherwise  |
                         ||              2            2                                |
                         \\                                                            /

$$\int \cos{\left(\operatorname{asin}{\left(x \right)} \right)}\, dx = C + \begin{cases} \frac{i x^{3}}{2 \sqrt{x^{2} - 1}} - \frac{i x}{2 \sqrt{x^{2} - 1}} - \frac{i \operatorname{acosh}{\left(x \right)}}{2} & \text{for}\: \left|{x^{2}}\right| > 1 \\\frac{x \sqrt{1 - x^{2}}}{2} + \frac{\operatorname{asin}{\left(x \right)}}{2} & \text{otherwise} \end{cases}$$

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