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- Weierstrass Substitution
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Apply the formula: $\cos\left(\theta \right)$$=\sum_{n=0}^{\infty } \frac{{\left(-1\right)}^n}{\left(2n\right)!}\theta ^{2n}$
Learn how to solve calcul intégral problems step by step online.
$\int\frac{\sum_{n=0}^{\infty } \frac{{\left(-1\right)}^n}{\left(2n\right)!}x^{2n}}{x}dx$
Learn how to solve calcul intégral problems step by step online. Find the integral int(cos(x)/x)dx. Apply the formula: \cos\left(\theta \right)=\sum_{n=0}^{\infty } \frac{{\left(-1\right)}^n}{\left(2n\right)!}\theta ^{2n}. Apply the formula: \frac{\sum_{a}^{b} x}{y}=\sum_{a}^{b} \frac{x}{y}, where a=n=0, b=\infty , x=\frac{{\left(-1\right)}^n}{\left(2n\right)!}x^{2n} and y=x. Simplify the expression. Apply the formula: \int\sum_{a}^{b} \frac{x}{c}dx=\sum_{a}^{b} \frac{1}{c}\int xdx, where a=n=0, b=\infty , c=\left(2n\right)! and x={\left(-1\right)}^nx^{\left(2n-1\right)}.
