Example

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

Question

$$\emptyset\int\frac{\cos\ x}{(1+\sin\ x)^{2}}dx$$

Answer

$$e^2*IM*m*p*t^3*y*s*n*d*x*cos(x)*(1+sin(x))^2$$

Solution


Regroup terms.
\[mptttysndxee\imath \cos{x}{(1+\sin{x})}^{2}\]
Simplify.
\[mp{t}^{3}ysndxee\imath \cos{x}{(1+\sin{x})}^{2}\]
Use Product Rule: \({x}^{a}{x}^{b}={x}^{a+b}\).
\[mp{t}^{3}ysndx{e}^{2}\imath \cos{x}{(1+\sin{x})}^{2}\]
Regroup terms.
\[{e}^{2}\imath mp{t}^{3}ysndx\cos{x}{(1+\sin{x})}^{2}\]
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