Evaluate the following \(\displaystyle\displaystyle \displaystyle\int_{0}^{\frac{\pi}{12}} 2 \sin 3x

Question

Evaluate the following $\displaystyle\displaystyle \displaystyle\int_{0}^{\frac{\pi}{12}} 2 \sin 3x + \tan^2 2x \, \mathrm{d}x$ $\displaystyle\displaystyle \displaystyle\int_{0}^{\frac{\pi}{3}} 5 \cos 2x + \tan^2 x \, \mathrm{d}x$

Accepted Answer

(a) $\frac23-\frac{\sqrt2}{3}+\frac{\sqrt3}{6}-\frac\pi{12}$ (b) $\frac{9\sqrt3}{4}-\frac\pi3$

Integration - Integrable Forms of Trigonometric Functions

Integration - Integrable Forms of Trigonometric Functions

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