I am solving a problem where $X$ is an exponential random variable and $\lambda=\frac{1}{10}$. I need to find the CDF of $X$ and have that $\int_0^\infty \frac{e^\frac{-x}{10}}{10}$ turns out to be $1$, however the answer is $1-e^\frac{-x}{10}$. Where did I go wrong?
CDF integration question
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integration
probability-distributions
definite-integrals