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Exercise

$\int\left(\frac{\cos\left(x\right)}{x}\right)dx$

Step-by-step Solution

Learn how to solve integrals with radicals problems step by step online. Find the integral int(cos(x)/x)dx. Rewrite the function \cos\left(x\right) as it's representation in Maclaurin series expansion. Bring the denominator x inside the power serie. Simplify the expression. We can rewrite the power series as the following.
Find the integral int(cos(x)/x)dx

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Final answer to the exercise

$\sum_{n=0}^{\infty } \frac{{\left(-1\right)}^nx^{2n}}{2n\left(2n\right)!}+C_0$

Try other ways to solve this exercise

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  • Integrate by partial fractions
  • Integrate by substitution
  • Integrate by parts
  • Integrate using tabular integration
  • Integrate by trigonometric substitution
  • Weierstrass Substitution
  • Integrate using trigonometric identities
  • Integrate using basic integrals
  • Product of Binomials with Common Term
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$\frac{d}{dx}\sqrt[3]{\frac{x-1}{x+8}}$
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