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Popular >

expand (1+x)ln(1+x)

Solution

expand

(1 + x) ln (1 + x)

Solution

ln (1 + x) + x ln (1 + x)

Solution steps

(1 + x) ln (1 + x)

= ln (1 + x) (1 + x)

Apply the distributive law:

a (b + c) = ab + a c

a = ln (1 + x), b = 1, c = x

= ln (1 + x) \cdot 1 + ln (1 + x) x

= 1 \cdot ln (1 + x) + x ln (1 + x)

Multiply:

1 \cdot ln (1 + x) = ln (1 + x)

= ln (1 + x) + x ln (1 + x)

Popular Examples

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\frac{5 ( 3 t + 440 )}{44}

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x^{2} y^{''} (x) + x y^{'} (x) + (x^{2} - 4) y

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

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- 4 (= 2 p + 10)

Frequently Asked Questions (FAQ)

What is expand (1+x)ln(1+x) ?
The solution to expand (1+x)ln(1+x) is ln(1+x)+xln(1+x)