Question

$$\int ix+\cos\ y=1$$

Answer

x=-(1-cos(y))/(n*t)

Solution


Use Product Rule: \({x}^{a}{x}^{b}={x}^{a+b}\).
\[{\imath }^{2}ntx+\cos{y}=1\]
Use Square Rule: \({i}^{2}=-1\).
\[-1\times ntx+\cos{y}=1\]
Simplify  \(-1\times ntx\)  to  \(-ntx\).
\[-ntx+\cos{y}=1\]
Subtract \(\cos{y}\) from both sides.
\[-ntx=1-\cos{y}\]
Divide both sides by \(-n\).
\[tx=-\frac{1-\cos{y}}{n}\]
Divide both sides by \(t\).
\[x=-\frac{\frac{1-\cos{y}}{n}}{t}\]
Simplify  \(\frac{\frac{1-\cos{y}}{n}}{t}\)  to  \(\frac{1-\cos{y}}{nt}\).
\[x=-\frac{1-\cos{y}}{nt}\]