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受欢迎的代数 >

1/2 (1+1)^2=ln(1)+2/1+2ln(1+1)+C

解答

\frac{1}{2} (1 + 1)^{2} = ln (1) + \frac{2}{1} + 2 ln (1 + 1) + C

解答

C = - 2 ln (2)

+1

十进制

C = - 1.38629 \dots

求解步骤

\frac{1}{2} (1 + 1)^{2} = ln (1) + \frac{2}{1} + 2 ln (1 + 1) + C

交换两边

ln (1) + \frac{2}{1} + 2 ln (1 + 1) + C = \frac{1}{2} (1 + 1)^{2}

使用法则

\frac{a}{1} = a

\frac{2}{1} = 2

ln (1) + 2 + 2 ln (1 + 1) + C = \frac{1}{2} (1 + 1)^{2}

数字相加:

1 + 1 = 2

ln (1) + 2 + 2 ln (2) + C = \frac{1}{2} (1 + 1)^{2}

数字相加:

1 + 1 = 2

ln (1) + 2 + 2 ln (2) + C = 2^{2} \cdot \frac{1}{2}

分式相乘:

a \cdot \frac{b}{c} = \frac{a \cdot b}{c}

ln (1) + 2 + 2 ln (2) + C = \frac{1 \cdot 2 ^{2}}{2}

乘以:

1 \cdot 2^{2} = 2^{2}

ln (1) + 2 + 2 ln (2) + C = \frac{2 ^{2}}{2}

约分:

2

ln (1) + 2 + 2 ln (2) + C = 2

将

ln (1)

到右边

2 + 2 ln (2) + C = 2

将

2

到右边

2 ln (2) + C = 0

将

2 ln (2)

到右边

C = - 2 ln (2)

作图

流行的例子

3*((-x+4)/4)= 1/2

3 \cdot (\frac{- x + 4}{4}) = \frac{1}{2}

2 x + 5 = - 3 x + 10

\frac{y}{8} = - 3

y = 4 \cdot 3^{0}

0.05z+0.2=0.15z-10.5

0.05 z + 0.2 = 0.15 z - 10.5