Learn how to solve addition von zahlen problems step by step online. int(sin(x^2))dx. Wenden Sie die Formel an: \sin\left(x^m\right)=\sum_{n=0}^{\infty } \frac{{\left(-1\right)}^n}{\left(2n+1\right)!}\left(x^m\right)^{\left(2n+1\right)}, wobei x^m=x^2 und m=2. Simplify \left(x^2\right)^{\left(2n+1\right)} using the power of a power property: \left(a^m\right)^n=a^{m\cdot n}. In the expression, m equals 2 and n equals 2n+1. Wenden Sie die Formel an: x\left(a+b\right)=xa+xb, wobei a=2n, b=1, x=2 und a+b=2n+1. Wenden Sie die Formel an: \int\sum_{a}^{b} cxdx=\sum_{a}^{b} c\int xdx, wobei a=n=0, b=\infty , c=\frac{{\left(-1\right)}^n}{\left(2n+1\right)!} und x=x^{\left(4n+2\right)}.

int(sin(x^2))dx