Final Answer
Step-by-step Solution
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Simplify $\left(\sqrt{x}\right)^3$ using the power of a power property: $\left(a^m\right)^n=a^{m\cdot n}$. In the expression, $m$ equals $\frac{1}{2}$ and $n$ equals $3$
Learn how to solve integrals involving logarithmic functions problems step by step online.
$\int\frac{\ln\left(x\right)}{\sqrt{x^{3}}}dx$
Learn how to solve integrals involving logarithmic functions problems step by step online. Solve the integral of logarithmic functions int(ln(x)/(x^1/2^3))dx. Simplify \left(\sqrt{x}\right)^3 using the power of a power property: \left(a^m\right)^n=a^{m\cdot n}. In the expression, m equals \frac{1}{2} and n equals 3. Rewrite the exponent using the power rule \frac{a^m}{a^n}=a^{m-n}, where in this case m=0. We can solve the integral \int x^{-\frac{3}{2}}\ln\left(x\right)dx by applying integration by parts method to calculate the integral of the product of two functions, using the following formula. First, identify u and calculate du.