Final Answer
$6.361846l$
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Step-by-step Solution
Problem to solve:
$\int_{1}^{e} xl\cdot xdx$
Specify the solving method
1
When multiplying two powers that have the same base ($x$), you can add the exponents
$\int_{1}^{e} x^2ldx$
Learn how to solve definite integrals problems step by step online.
$\int_{1}^{e} x^2ldx$
Learn how to solve definite integrals problems step by step online. Integrate the function xlx from 1 to e. When multiplying two powers that have the same base (x), you can add the exponents. The integral of a constant times a function is equal to the constant multiplied by the integral of the function. Apply the power rule for integration, \displaystyle\int x^n dx=\frac{x^{n+1}}{n+1}, where n represents a number or constant function, such as 2. Evaluate the definite integral.
Final Answer
$6.361846l$