Final answer to the problem
$\sum_{n=0}^{\infty } \frac{2^nx^{\left(3n+1\right)}}{\left(3n+1\right)\left(n!\right)}+C_0$
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Step-by-step Solution
Learn how to solve integrals of exponential functions problems step by step online. Find the integral int(e^(2x^3))dx. Rewrite the function e^{2x^3} as it's representation in Maclaurin series expansion. We can rewrite the power series as the following. The power of a product is equal to the product of it's factors raised to the same power. The integral of a function times a constant (2^n) is equal to the constant times the integral of the function.
Final answer to the problem
$\sum_{n=0}^{\infty } \frac{2^nx^{\left(3n+1\right)}}{\left(3n+1\right)\left(n!\right)}+C_0$
