Math Problems and solutions
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9.3.3.1 Definite Integrals
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9.3.3.10 Definite Integrals
9.3.3.13 Definite Integrals
9.3.3.15 Definite Integrals
![3 Problem: Calculate the integral: \[ \int_{-2 \pi}^{2 \pi} \sin ^{3} 2 x \sqrt{100-x^{2}} d x \]](/storage/uploads/task_mls/366/en/9.3.3.1.png){kind=link}
![Problem: Prove the equality: \[ \int_{0}^{1} x^{m}(1-x)^{n} d x=\int_{0}^{1}(1-x)^{m} x^{n} d x . \]](/storage/uploads/task_mls/1758/en/9.3.3.10.png){kind=link}
![3) Problem: Find the value of the definite integral: \[ \int_{\ln 3}^{\ln 8} \frac{d x}{\sqrt{e^{x}+1}} \]](/storage/uploads/task_mls/1761/en/9.3.3.13.png){kind=link}
![(2) Problem: Find the value of the definite integral: \[ \int_{0}^{\sqrt{5}} \sqrt{15-3 \mathrm{x}^{2}} d x \]](/storage/uploads/task_mls/1763/en/9.3.3.15.png){kind=link}