∫ dx/√(ax²+bx+c) and √(a²−x²) forms (∫ dx/√(a²−x²) = arcsin(x/a)+C; general quadratic → complete square +)
jee-mainjee-advanced
∫ dx/√(a²−x²) = arcsin(x/a)+C; general quadratic → complete square + trig/hyper sub.
What each symbol means
| Symbol | What it stands for |
|---|---|
| a | Positive constant for standard arcsin form |
When to use this
Substitute x = a sin θ for √(a²−x²).