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- Integrate by partial fractions
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Since the integral $\int_{\frac{1}{4}}^{1}\frac{2}{x}dx$ has a discontinuity inside the interval, we have to split it in two integrals
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$\int_{\frac{1}{4}}^{0}\frac{2}{x}dx+\int_{0}^{1}\frac{2}{x}dx$
Learn how to solve problems step by step online. Integrate the function 2/x from 1/4 to 1. Since the integral \int_{\frac{1}{4}}^{1}\frac{2}{x}dx has a discontinuity inside the interval, we have to split it in two integrals. The integral \int_{\frac{1}{4}}^{0}\frac{2}{x}dx results in: \int_{\frac{1}{4}}^{0}\frac{2}{x}dx+\int_{0}^{0}\frac{2}{x}dx. The integral \int_{\frac{1}{4}}^{0}\frac{2}{x}dx results in: \int_{\frac{1}{4}}^{0}\frac{2}{x}dx+\int_{0}^{0}\frac{2}{x}dx. Gather the results of all integrals.
