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- Integrate by partial fractions
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- Product of Binomials with Common Term
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Expand the fraction $\frac{1-\cos\left(x\right)}{x^2}$ into $2$ simpler fractions with common denominator $x^2$
Learn how to solve one-variable linear equations problems step by step online.
$\int_{0}^{0.5}\left(\frac{1}{x^2}+\frac{-\cos\left(x\right)}{x^2}\right)dx$
Learn how to solve one-variable linear equations problems step by step online. Integrate the function (1-cos(x))/(x^2) from 0 to 1/2. Expand the fraction \frac{1-\cos\left(x\right)}{x^2} into 2 simpler fractions with common denominator x^2. Simplify the expression. The integral \int_{0}^{0.5}\frac{1}{x^2}dx results in: \lim_{c\to0}\left(\frac{1}{-0.5}+\frac{1}{c}\right). The integral -\int_{0}^{0.5}\frac{\cos\left(x\right)}{x^2}dx results in: \lim_{c\to0}\left(\frac{\cos\left(0.5\right)}{0.5}+0.5+\frac{- 0.5^3}{18}+\frac{0.5^5}{600}+\frac{- 0.5^7}{35280}-\left(\frac{\cos\left(c\right)}{c}+c+\frac{-c^3}{18}+\frac{c^5}{600}+\frac{-c^7}{35280}\right)\right).
