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Popular >

expand ln(x)((x^3)/3+3x)-1/3 ((x^3)/3+9x)+c

Solution

expand

ln (x) (\frac{x ^{3}}{3} + 3 x) - \frac{1}{3} (\frac{x ^{3}}{3} + 9 x) + c

Solution

\frac{x ^{3} ln ( x )}{3} + 3 x ln (x) - \frac{x ^{3}}{9} - 3 x + c

Solution steps

ln (x) (\frac{x ^{3}}{3} + 3 x) - \frac{1}{3} (\frac{x ^{3}}{3} + 9 x) + c

Expand

ln (x) (\frac{x ^{3}}{3} + 3 x) : \frac{x ^{3} ln ( x )}{3} + 3 x ln (x)

= \frac{x ^{3} ln ( x )}{3} + 3 x ln (x) - \frac{1}{3} (\frac{x ^{3}}{3} + 9 x) + c

Expand

- \frac{1}{3} (\frac{x ^{3}}{3} + 9 x) : - \frac{x ^{3}}{9} - 3 x

= \frac{x ^{3} ln ( x )}{3} + 3 x ln (x) - \frac{x ^{3}}{9} - 3 x + c

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Frequently Asked Questions (FAQ)

What is expand ln(x)((x^3)/3+3x)-1/3 ((x^3)/3+9x)+c ?
The solution to expand ln(x)((x^3)/3+3x)-1/3 ((x^3)/3+9x)+c is (x^3ln(x))/3+3xln(x)-(x^3)/9-3x+c