Integral of sqrt(12-3x^2) dx
The solution
Detail solution
SqrtQuadraticRule(a=12, b=0, c=-3, context=sqrt(12 - 3*x**2), symbol=x)
-
Now simplify:
23(x4−x2+4asin(2x))
-
Add the constant of integration:
23(x4−x2+4asin(2x))+constant
The answer is:
23(x4−x2+4asin(2x))+constant
The answer (Indefinite)
[src]
/
| ___________
| ___________ / 2
| / 2 x*\/ 12 - 3*x ___ /x\
| \/ 12 - 3*x dx = C + ---------------- + 2*\/ 3 *asin|-|
| 2 \2/
/
2x12−3x2+23arcsin(2x)
The graph
___
3 pi*\/ 3
- + --------
2 3
623π+9
=
___
3 pi*\/ 3
- + --------
2 3
23+33π
Use the examples entering the upper and lower limits of integration.