# Math Help - Evaluate Indefinite integral as an infinite series

1. ## Evaluate Indefinite integral as an infinite series

Evaluate Indefinite integral as an infinite series

2. Originally Posted by racewithferrari
Evaluate Indefinite integral as an infinite series

$\int\frac{e^x-1}{x}\,dx = \int\frac{\sum_{k=0}^\infty\frac{x^k}{k!}-1}{x}\,dx=\int\sum_{k=1}^\infty\frac{x^{k-1}}{k!}\,dx= \sum_{k=1}^\infty\int \frac{x^{k-1}}{k!}=\sum_{k=1}^\infty \frac{x^k}{k\cdot k!}+C$