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Evaluate the integral: int_((pi)/(6))^((pi)/(6))sin^(2)(2x)dx

Evaluate the integral: ∫π6π6sin⁡2(2x)dx \int_{\frac{\pi}{6}}^{\frac{\pi}{6}} \sin ^{2}(2 x) \mathrm{d} x

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Evaluate definite integrals using the chain ruleright chevron icon

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Q. Evaluate the integral: ∫π6π6sin⁡2(2x)dx \int_{\frac{\pi}{6}}^{\frac{\pi}{6}} \sin ^{2}(2 x) \mathrm{d} x
  1. Identify Problem: We are asked to evaluate the integral of sin⁡2(2x)\sin^2(2x) with the limits of integration from π6\frac{\pi}{6} to π6\frac{\pi}{6}. The first observation is that the limits of integration are the same, which means that the integral will evaluate to zero, because the area under the curve between a single point is zero.

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