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- Integrate by partial fractions
- Integrate by substitution
- Integrate by parts
- Integrate using tabular integration
- Integrate by trigonometric substitution
- Weierstrass Substitution
- Integrate using trigonometric identities
- Integrate using basic integrals
- Product of Binomials with Common Term
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Apply properties of logarithms to expand and simplify the logarithmic expression $\ln\left(4x^2\right)$ inside the integral
Learn how to solve integrals of polynomial functions problems step by step online. Solve the integral of logarithmic functions int(ln(4x^2))dx. Apply properties of logarithms to expand and simplify the logarithmic expression \ln\left(4x^2\right) inside the integral. Expand the integral \int\left(2\ln\left(2\right)+2\ln\left(x\right)\right)dx into 2 integrals using the sum rule for integrals, to then solve each integral separately. The integral \int2\ln\left(2\right)dx results in: 2\ln\left(2\right)x. Multiply the single term 2 by each term of the polynomial \left(x\ln\left(x\right)-x\right).