Integral of (√(1-x^2))/x dx
The solution
The answer (Indefinite)
[src]
// /1\ 1 x 1 \
||- acosh|-| + ---------------- - -------------- for ---- > 1|
/ || \x/ _________ _________ | 2| |
| || / 1 / 1 |x | |
| ________ || x* / -1 + -- / -1 + -- |
| / 2 || / 2 / 2 |
| \/ 1 - x || \/ x \/ x |
| ----------- dx = C + |< |
| x || /1\ I*x I |
| || I*asin|-| + ------------- - --------------- otherwise |
/ || \x/ ________ ________ |
|| / 1 / 1 |
|| / 1 - -- x* / 1 - -- |
|| / 2 / 2 |
\\ \/ x \/ x /
∫x1−x2dx=C+⎩⎨⎧−−1+x21x−acosh(x1)+x−1+x2111−x21ix+iasin(x1)−x1−x21ifor∣x2∣1>1otherwise
The graph
Use the examples entering the upper and lower limits of integration.