What is expand [(8^x+3^x)^2+3]dx ?

The solution to expand [(8^x+3^x)^2+3]dx is 64^xdx+3^x*2^{1+3x}dx+9^xdx+3dx

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expand [(8^x+3^x)^2+3]dx

expand

[(8^{x} + 3^{x})^{2} + 3] d x

6 4^{x} d x + 3^{x} \cdot 2^{1 + 3 x} d x + 9^{x} d x + 3 d x

Solution steps

((8^{x} + 3^{x})^{2} + 3) d x

Expand

(8^{x} + 3^{x})^{2} + 3 : 6 4^{x} + 3^{x} \cdot 2^{1 + 3 x} + 9^{x} + 3

= (6 4^{x} + 3^{x} \cdot 2^{3 x + 1} + 9^{x} + 3) d x

Distribute parentheses

= d x \cdot 6 4^{x} + d x \cdot 3^{x} \cdot 2^{1 + 3 x} + d x \cdot 9^{x} + d x \cdot 3

= 6 4^{x} d x + 3^{x} \cdot 2^{1 + 3 x} d x + 9^{x} d x + 3 d x

\frac{2 x + 1}{x ^{2} ( x - 3 )}

(1 + e^{x}) \cdot (1 + e^{- x})

\frac{( n ^{2} + n + 1 ) ^{4}}{n ^{9}}

(a + e b)^{3}

(2 x^{3} - x y^{2} - 2 y + 3) d x

What is expand [(8^x+3^x)^2+3]dx ?
The solution to expand [(8^x+3^x)^2+3]dx is 64^xdx+3^x*2^{1+3x}dx+9^xdx+3dx