Final answer to the problem
Step-by-step Solution
How should I solve this problem?
- Integrate using basic integrals
- Integrate by partial fractions
- Integrate by substitution
- Integrate by parts
- Integrate using tabular integration
- Integrate by trigonometric substitution
- Weierstrass Substitution
- Integrate using trigonometric identities
- Product of Binomials with Common Term
- FOIL Method
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Using the power rule of logarithms: $\log_a(x^n)=n\cdot\log_a(x)$
Learn how to solve definite integrals problems step by step online.
$\int_{1}^{e}4x\ln\left(x\right)dx$
Learn how to solve definite integrals problems step by step online. Integrate the function xln(x^4) from 1 to e. Using the power rule of logarithms: \log_a(x^n)=n\cdot\log_a(x). The integral of a constant times a function is equal to the constant multiplied by the integral of the function. We can solve the integral \int x\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 or choose u and calculate it's derivative, du.