Integrate[Sqrt[4-9Power[x,2]],{x,0,Divide[2,3]}]
You asked:
Evaluate the integral: \(\int_{0}^{\frac{2}{3}}{\sqrt{4 - 9 \cdot {x}^{2}}}dx\)
MathBot Answer:
Definite integral
\[\int_{0}^{\frac{2}{3}}{\sqrt{4 - 9 \cdot {x}^{2}}}dx = \frac{\pi}{3} \approx 1.04719755119659774615421446109317\]