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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.
$\int x^n\sum_{n=0}^{\infty } \frac{{\left(-1\right)}^n}{\left(2n\right)!}x^{2n}dx$
Learn how to solve calcul intégral problems step by step online. Find the integral int(x^ncos(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: \sum_{a}^{b} xy=\sum_{a}^{b} yx, where a=n=0, b=\infty , x=\frac{{\left(-1\right)}^n}{\left(2n\right)!}x^{2n} and y=x^n. Simplify the expression. Apply the formula: \int\sum_{a}^{b} cxdx=\sum_{a}^{b} c\int xdx, where a=n=0, b=\infty , c=\frac{{\left(-1\right)}^n}{\left(2n\right)!} and x=x^{3n}.
