Final answer to the problem
$\sum_{n=0}^{\infty } \frac{{\left(-1\right)}^nx^{2n}}{2n\left(2n\right)!}+C_0$
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Step-by-step Solution
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1
Take out the constant $1$ from the integral
$\int\frac{\cos\left(x\right)}{x}dx$
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$\int\frac{\cos\left(x\right)}{x}dx$
Learn how to solve problems step by step online. Find the integral int((cos(x)1)/x)dx. Take out the constant 1 from the integral. 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 inside the integral.
Final answer to the problem
$\sum_{n=0}^{\infty } \frac{{\left(-1\right)}^nx^{2n}}{2n\left(2n\right)!}+C_0$