簡約-1/4 sin^3(x)cos(x)+3/8 (x-1/2 sin(2x))

解

簡約

- \frac{1}{4} sin^{3} (x) cos (x) + \frac{3}{8} (x - \frac{1}{2} sin (2 x))

- \frac{sin ^{3} ( x ) cos ( x )}{4} + \frac{3 ( x - \frac{1}{2} sin ( 2 x ) )}{8}

解答ステップ

- \frac{1}{4} sin^{3} (x) cos (x) + \frac{3}{8} (x - \frac{1}{2} sin (2 x))

- \frac{1}{4} sin^{3} (x) cos (x) = - \frac{sin ^{3} ( x ) cos ( x )}{4}

\frac{3}{8} (x - \frac{1}{2} sin (2 x)) = \frac{3 ( x - \frac{1}{2} sin ( 2 x ) )}{8}

= - \frac{sin ^{3} ( x ) cos ( x )}{4} + \frac{3 ( x - \frac{1}{2} sin ( 2 x ) )}{8}