Final Answer
$\ln\left(4\right)$
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Step-by-step Solution
Problem to solve:
$\int_{1}^{4}\frac{1}{x}dx$
Specify the solving method
1
The integral of the inverse of the lineal function is given by the following formula, $\displaystyle\int\frac{1}{x}dx=\ln(x)$
$\left[\ln\left(x\right)\right]_{1}^{4}$
Learn how to solve definite integrals problems step by step online.
$\left[\ln\left(x\right)\right]_{1}^{4}$
Learn how to solve definite integrals problems step by step online. Integrate the function 1/x from 1 to 4. The integral of the inverse of the lineal function is given by the following formula, \displaystyle\int\frac{1}{x}dx=\ln(x). Evaluate the definite integral. Simplify the expression inside the integral.
Final Answer
$\ln\left(4\right)$