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Apply the formula: $e^x$$=\sum_{n=0}^{\infty } \frac{x^n}{n!}$, where $2.718281828459045=e$, $x=3x^2$ and $2.718281828459045^x=e^{3x^2}$
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$\int\sum_{n=0}^{\infty } \frac{\left(3x^2\right)^n}{n!}dx$
Learn how to solve intégrales des fonctions exponentielles problems step by step online. int(e^(3x^2))dx. Apply the formula: e^x=\sum_{n=0}^{\infty } \frac{x^n}{n!}, where 2.718281828459045=e, x=3x^2 and 2.718281828459045^x=e^{3x^2}. 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=n! and x=\left(3x^2\right)^n. Apply the formula: \left(ab\right)^n=a^nb^n, where a=3 and b=x^2. Apply the formula: \int cxdx=c\int xdx, where c=3^n and x=x^{2n}.