What is the integral of x^{10}ln(x) ?

The integral of x^{10}ln(x) is 1/11 x^{11}ln(x)-(x^{11})/(121)+C

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integral of x^{10}ln(x)

\int x^{10} ln (x) d x

\frac{1}{11} x^{11} ln (x) - \frac{x ^{11}}{121} + C

Solution steps

\int x^{10} ln (x) d x

Apply Integration By Parts

: \frac{1}{11} x^{11} ln (x) - \int \frac{x ^{10}}{11} d x

= \frac{1}{11} x^{11} ln (x) - \int \frac{x ^{10}}{11} d x

\int \frac{x ^{10}}{11} d x = \frac{x ^{11}}{121}

= \frac{1}{11} x^{11} ln (x) - \frac{x ^{11}}{121}

Add a constant to the solution

= \frac{1}{11} x^{11} ln (x) - \frac{x ^{11}}{121} + C

\int_{4}^{9} \frac{1}{1 - x} d x

\int e^{x^{3} + 1} d x

(1 + x^{2}) y^{^{'}} - 2 x y = 0

x \to 10 lim (\frac{x ^{3}}{3})

(- 3 cos (2 x) - sin (3 x) - 4)^{2}

What is the integral of x^{10}ln(x) ?
The integral of x^{10}ln(x) is 1/11 x^{11}ln(x)-(x^{11})/(121)+C