Question$\int_{4}^{6} \frac{2 x}{x^{2}+2}$

Studdy Solution
Evaluate the definite integral by substituting the limits back into the antiderivative.
$$\int_{4}^{6} \frac{2x}{x^2 + 2} \, dx = \ln 38 - \ln 18 = \ln \left(\frac{38}{18}\right) = \ln \left(\frac{19}{9}\right)$$
Solution: $$\int_{4}^{6} \frac{2x}{x^2 + 2} \, dx = \ln \left(\frac{19}{9}\right)$$