What is the integral of x^9ln(x) ?

The integral of x^9ln(x) is 1/10 x^{10}ln(x)-(x^{10})/(100)+C

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integral of x^9ln(x)

\int x^{9} ln (x) d x

\frac{1}{10} x^{10} ln (x) - \frac{x ^{10}}{100} + C

Solution steps

\int x^{9} ln (x) d x

Apply Integration By Parts

: \frac{1}{10} x^{10} ln (x) - \int \frac{x ^{9}}{10} d x

= \frac{1}{10} x^{10} ln (x) - \int \frac{x ^{9}}{10} d x

\int \frac{x ^{9}}{10} d x = \frac{x ^{10}}{100}

= \frac{1}{10} x^{10} ln (x) - \frac{x ^{10}}{100}

Add a constant to the solution

= \frac{1}{10} x^{10} ln (x) - \frac{x ^{10}}{100} + C

f (x) = (13 x - 1)^{- \frac{1}{3}}, at x = 5

\frac{t}{( t - 9 ) ^{2}}

25 y^{^{''}} + 30 y^{^{'}} + 9 y = 0

\frac{\partial}{\partial x} (2 x^{0.3} y^{0.3} + 1)

\int \frac{3 x ^{\frac{8}{3}}}{8} + C d x

What is the integral of x^9ln(x) ?
The integral of x^9ln(x) is 1/10 x^{10}ln(x)-(x^{10})/(100)+C