Advanced Definite Integrals

10 practice questionsCalculus IIStep-by-step solutions

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Evaluate $\displaystyle\int_{0}^{\pi/2} \frac{\sin^3 x}{\sin^3 x + \cos^3 x} \, dx$ .

\frac{\pi}{8}

\frac{\pi}{4}

\frac{\pi}{2}

\frac{\pi}{3}

Evaluate the definite integral $\displaystyle\int_{1}^{2} \frac{1}{x^{2}}\,dx$ .

1

- \frac{1}{2}

\frac{1}{2}

\frac{3}{2}

Evaluate the definite integral $\displaystyle\int_{0}^{\frac{\pi}{2}} \sin{\left(x \right)} \cos{\left(x \right)}\,dx$ .

1

- \frac{1}{2}

\frac{3}{2}

\frac{1}{2}

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