Example

3(r+2s)=2t-4
a⋅(b-2)=3b
3(r+2s)=2t-4
a⋅(b-2)=3b

Question

$$\frac{\int^{1}-\sin(x)dx}{\frac{d}{dx}\cos(x)dx}$$

Answer

$$int-d^4*x^3*sin(x)*cos(x)$$

Solution


Use Rule of One: \({x}^{1}=x\).
\[int-(\sin{x})dxddx(\cos{x})dx\]
Regroup terms.
\[int-ddddxxx\sin{x}\cos{x}\]
Simplify  \(ddddxxx\sin{x}\cos{x}\)  to  \({d}^{4}{x}^{3}\sin{x}\cos{x}\).
\[int-{d}^{4}{x}^{3}\sin{x}\cos{x}\]
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