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Simplify $\left(e^x\right)^2$ using the power of a power property: $\left(a^m\right)^n=a^{m\cdot n}$. In the expression, $m$ equals $x$ and $n$ equals $2$
Learn how to solve logarithmic differentiation problems step by step online.
$\int\frac{x^2e^{2x}+\ln\left(x\right)^3}{x}dx$
Learn how to solve logarithmic differentiation problems step by step online. Solve the integral of logarithmic functions int((x^2e^x^2+ln(x)^3)/x)dx. Simplify \left(e^x\right)^2 using the power of a power property: \left(a^m\right)^n=a^{m\cdot n}. In the expression, m equals x and n equals 2. Expand the fraction \frac{x^2e^{2x}+\ln\left(x\right)^3}{x} into 2 simpler fractions with common denominator x. Simplify the resulting fractions. Expand the integral \int\left(xe^{2x}+\frac{\ln\left(x\right)^3}{x}\right)dx into 2 integrals using the sum rule for integrals, to then solve each integral separately.