Example

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

Question

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

Answer

$$(e^2*IM*n*t^2*g*r*a*d*x*cos(x))/(1+sin(x))^2$$

Solution


Use this rule: \(\frac{a}{b} \times \frac{c}{d}=\frac{ac}{bd}\).
\[\frac{\imath ntegrate(\cos{x})dx}{{(1+\sin{x})}^{2}}\]
Use Product Rule: \({x}^{a}{x}^{b}={x}^{a+b}\).
\[\frac{\imath n{t}^{2}{e}^{2}gra(\cos{x})dx}{{(1+\sin{x})}^{2}}\]
Regroup terms.
\[\frac{{e}^{2}\imath n{t}^{2}gradx\cos{x}}{{(1+\sin{x})}^{2}}\]
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