MathProblemsBank

9.3.3.3 Definite Integrals

Problem: Calculate the integral: 1) \( \int_{-3}^{3} \frac{x^{2} \sin 2 x}{x^{2}+1} d x \) 2) \( \int_{0}^{2} \frac{x^{5} d x}{\sqrt{4-x^{2}}} \).