$$\int_{0}^{2}({(x^4)/(9-x^2)^2}) dx

asked by guest
on Oct 28, 2024 at 8:35 am



You asked:

Evaluate the integral: \(\int_{0}^{2}{\frac{{x}^{4}}{{\left( 9 - {x}^{2} \right)}^{2}}}dx\)

MathBot Answer:

Definite integral

\[\int_{0}^{2}{\frac{{x}^{4}}{{\left( 9 - {x}^{2} \right)}^{2}}}dx = \frac{19}{5} - \frac{9 \log{\left(5 \right)}}{4} \approx 0.17876469702327415714829150024108\]