Final answer to the problem
$\frac{1}{2}\ln\left|4\right|- \left(\frac{1}{2}\right)\ln\left|e\right|$
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Step-by-step Solution
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- Integrate by partial fractions
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- Weierstrass Substitution
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- Product of Binomials with Common Term
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1
Take the constant $\frac{1}{2}$ out of the integral
$\frac{1}{2}\int_{e}^{4}\frac{1}{x}dx$
Learn how to solve definite integrals problems step by step online.
$\frac{1}{2}\int_{e}^{4}\frac{1}{x}dx$
Learn how to solve definite integrals problems step by step online. Integrate the function 1/(2x) from e to 4. Take the constant \frac{1}{2} out of the integral. 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.
Final answer to the problem
$\frac{1}{2}\ln\left|4\right|- \left(\frac{1}{2}\right)\ln\left|e\right|$
Exact Numeric Answer
$-0.5$
