Techniques of Differentiation - Derivatives of Trigonometric Functions

Techniques of Differentiation - Derivatives of Trigonometric Functions

Find \(\frac{\mathrm{d}}{\mathrm{d}x}\left( \frac{\cos^5 2x}{10} \right)\) and hence, find \(\displaystyle\displaystyle \displaystyle\int (x - \sin 2x \cos^4 2x) \, \mathrm{d}x\).

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Answer:\(-\sin 2x\cos^4 2x\) \(\frac{x^2}{2}+\frac{\cos^5 2x}{10}+C\)

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