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Apply the formula: $\cos\left(x^m\right)$$=\sum_{n=0}^{\infty } \frac{{\left(-1\right)}^n}{\left(2n\right)!}\left(x^m\right)^{2n}$, where $x^m=x^3$ and $m=3$
Learn how to solve intégrales trigonométriques problems step by step online.
$\int\sum_{n=0}^{\infty } \frac{{\left(-1\right)}^n}{\left(2n\right)!}\left(x^3\right)^{2n}dx$
Learn how to solve intégrales trigonométriques problems step by step online. int(cos(x^3))dx. Apply the formula: \cos\left(x^m\right)=\sum_{n=0}^{\infty } \frac{{\left(-1\right)}^n}{\left(2n\right)!}\left(x^m\right)^{2n}, where x^m=x^3 and m=3. Simplify \left(x^3\right)^{2n} using the power of a power property: \left(a^m\right)^n=a^{m\cdot n}. In the expression, m equals 3 and n equals 2n. 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^{6n}. Apply the formula: \int x^ndx=\frac{x^{\left(n+1\right)}}{n+1}+C, where n=6n.
