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\int\ln\left(y\right)y^3dy

Integrate ln(y)y^3

Answer

$\frac{y^{4}\ln\left(y\right)}{4}-\frac{1}{7}y^{7}+C_0$

Step-by-step explanation

Problem to solve:

$\int\ln\left(y\right)y^3dy$
1

Use the integration by parts theorem to calculate the integral $\int y^3\ln\left(y\right)dy$, using the following formula

$\displaystyle\int u\cdot dv=u\cdot v-\int v \cdot du$

Unlock this step-by-step solution!

Answer

$\frac{y^{4}\ln\left(y\right)}{4}-\frac{1}{7}y^{7}+C_0$

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