What is expand (e^x+xe^x)sqrt(4-x^2) ?

The solution to expand (e^x+xe^x)sqrt(4-x^2) is e^xsqrt(4-x^2)+e^xxsqrt(4-x^2)

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expand (e^x+xe^x)sqrt(4-x^2)

expand

(e^{x} + x e^{x}) 4 - x^{2}

e^{x} 4 - x^{2} + e^{x} x 4 - x^{2}

Solution steps

(e^{x} + x e^{x}) 4 - x^{2}

= (e^{x} + e^{x} x) 4 - x^{2}

Apply the distributive law:

a (b + c) = ab + a c

a = 4 - x^{2}, b = e^{x}, c = x e^{x}

= 4 - x^{2} e^{x} + 4 - x^{2} x e^{x}

= e^{x} 4 - x^{2} + e^{x} x 4 - x^{2}

\frac{d ^{2}}{d x ^{2}} ((y) (sin (x) + cos (x)))

2 π (x) (x^{\frac{1}{2}} - 3) d x

d H (x^{2} + 1)

\frac{1}{( 1 + 3 x ) ^{5}}

\frac{( x - 6 ) ^{2}}{( 6 - 5 x )}

What is expand (e^x+xe^x)sqrt(4-x^2) ?
The solution to expand (e^x+xe^x)sqrt(4-x^2) is e^xsqrt(4-x^2)+e^xxsqrt(4-x^2)