Final Answer
$-3.694528$
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Step-by-step Solution
Problem to solve:
$\int_{e}^{0} e^{\ln\left(x\right)}dx$
Specify the solving method
1
Simplify the expression inside the integral
$-\int_{0}^{e} xdx$
Learn how to solve definite integrals problems step by step online.
$-\int_{0}^{e} xdx$
Learn how to solve definite integrals problems step by step online. Integrate the function e^ln(x) from e to 0. Simplify the expression inside the integral. Applying the power rule for integration, \displaystyle\int x^n dx=\frac{x^{n+1}}{n+1}, where n represents a number or constant function, in this case n=1. Evaluate the definite integral. Simplify the expression inside the integral.
Final Answer
$-3.694528$