展开 4e^{2e^2+2}+1/((e+1)^2)+9e^4

解答

展开

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

4 e^{2 e^{2} + 2} + \frac{1}{e ^{2} + 2 e + 1} + 9 e^{4}

十进制

77393465.43519 \dots

求解步骤

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

(e + 1)^{2} = e^{2} + 2 e + 1

= 4 e^{2 e^{2} + 2} + \frac{1}{e ^{2} + 2 e + 1} + 9 e^{4}

s im pl i f y 2 (15 + 26)

\frac{d}{d y} ((x) (x^{2} + y^{2} - 4 x + 10 y - 12))

e x p an d \frac{3}{( x + 2 ) ( 2 x + 1 )}

e x p an d \frac{8 ( 2 ( - 1 ) ^{n} - π ^{2} ( - 1 ) ^{n} n ^{2} - 2 )}{π n ^{3}}

e x p an d \frac{1}{\frac{16 x ^{2}}{n ^{2}} - \frac{8 x}{n} + 1}