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# Step-by-step Solution

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## Step-by-step explanation

Problem to solve:

$\int_{-\infty}^{-1}\left(e^{-2t}\right)dt$

Learn how to solve definite integrals problems step by step online.

$\lim_{c\to{-\infty }}\:\int_{c}^{-1} e^{-2t}dt$

Learn how to solve definite integrals problems step by step online. Integrate e^(-2t) from -\infty to -1. Replace the integral's limit by a finite value. Solve the integral \int_{c}^{-1} e^{-2t}dt applying u-substitution. Let u and du be. Isolate dt in the previous equation. Substituting u and dt in the integral and simplify.

$-3.6945+0.5\cdot e^{-2\cdot -\infty }$

### Problem Analysis

$\int_{-\infty}^{-1}\left(e^{-2t}\right)dt$

### Main topic:

Definite integrals

~ 0.07 seconds