## Step-by-step explanation

Problem to solve:

Learn how to solve integrals of exponential functions problems step by step online.

$\int\left(\frac{e}{0!}+x\frac{5.4366}{1!}+x^{2}\frac{13.5914}{2!}+x^{3}\frac{40.7742}{3!}\right)dx$

Learn how to solve integrals of exponential functions problems step by step online. Compute the integral int(2.718281828459045^(x+2.718281828459045^x))dx. Use the Taylor series for rewrite the function e^{\left(x+e^x\right)} as an approximation: \displaystyle f(x)=\sum_{n=0}^{\infty}\frac{f^{(n)}(a)}{n!}(x-a)^n, with a=0. Here we will use only the first four terms of the serie. Simplifying. The integral \int edx results in: ex. The integral \int5.4366xdx results in: ex^2.