What is e^xsin(x)e^xsin(x) ?

The solution to e^xsin(x)e^xsin(x) is e^{2x}sin^2(x)

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simplify e^xsin(x)e^xsin(x)

simplify

e^{x} sin (x) e^{x} sin (x)

e^{2 x} sin^{2} (x)

Solution steps

e^{x} sin (x) e^{x} sin (x)

Apply exponent rule:

a^{b} \cdot a^{c} = a^{b + c}

sin (x) sin (x) = sin^{1 + 1} (x)

= e^{x} e^{x} sin^{1 + 1} (x)

Add the numbers:

1 + 1 = 2

= e^{x} e^{x} sin^{2} (x)

Apply exponent rule:

a^{b} \cdot a^{c} = a^{b + c}

e^{x} e^{x} = e^{x + x}

= e^{x + x} sin^{2} (x)

Add similar elements:

x + x = 2 x

= e^{2 x} sin^{2} (x)

\frac{\frac{9}{2}}{\frac{3}{2}}

(11)^{4}

(11)^{3}

(11)^{5}

What is e^xsin(x)e^xsin(x) ?
The solution to e^xsin(x)e^xsin(x) is e^{2x}sin^2(x)