展开 x^x(ln(x)+1)

解答

展开

x^{x} (ln (x) + 1)

x^{x} ln (x) + x^{x}

求解步骤

x^{x} (ln (x) + 1)

使用分配律:

a (b + c) = ab + a c

a = x^{x}, b = ln (x), c = 1

= x^{x} ln (x) + x^{x} \cdot 1

= x^{x} ln (x) + 1 \cdot x^{x}

乘以:

1 \cdot x^{x} = x^{x}

= x^{x} ln (x) + x^{x}

e x p an d x (3 x - 10) - 31

e x p an d \frac{1}{( 2 x + 1 ) ^{2}}

e x p an d (x + \frac{3}{2})^{12}

e x p an d cos (x) (1 + sin (x))

e x p an d ((Δ + x) + 1)^{2}