Solutions
Integral CalculatorDerivative CalculatorAlgebra CalculatorMatrix CalculatorMore...
Graphing
Line Graph CalculatorExponential Graph CalculatorQuadratic Graph CalculatorSin graph CalculatorMore...
Calculators
BMI CalculatorCompound Interest CalculatorPercentage CalculatorAcceleration CalculatorMore...
Geometry
Pythagorean Theorem CalculatorCircle Area CalculatorIsosceles Triangle CalculatorTriangles CalculatorMore...
Tools
NotebookGroupsCheat SheetsWorksheetsPracticeVerify
en
English
Español
Português
Français
Deutsch
Italiano
Русский
中文(简体)
한국어
日本語
Tiếng Việt
עברית
العربية
Popular Calculus >

integral from 0 to infinity of e^{-λt}

  • Pre Algebra
  • Algebra
  • Pre Calculus
  • Calculus
  • Functions
  • Linear Algebra
  • Trigonometry
  • Statistics
  • Physics
  • Chemistry
  • Finance
  • Economics
  • Conversions

Solution

∫0∞​e−λtdt

Solution

λ1​
Solution steps
∫0∞​e−λtdt
Compute the indefinite integral:∫e−λtdt=−λ1​e−λt+C
Compute the boundaries:∫0∞​e−λtdt=0−(−λ1​)
=0−(−λ1​)
Simplify=λ1​

Popular Examples

integral from 1 to infinity of 1/(xln(x)ln(ln(x)))integral from-10pi to 10pi of cos(x)integral from 1 to 1 of 4-x^2integral from-1 to 3 of (|2-x|+x^2)integral from 0 to 3 of 6tsqrt(1+t^2)

Frequently Asked Questions (FAQ)

  • What is the integral from 0 to infinity of e^{-λt} ?

    The integral from 0 to infinity of e^{-λt} is 1/λ
Study ToolsAI Math SolverPopular ProblemsWorksheetsStudy GuidesPracticeCheat SheetsCalculatorsGraphing CalculatorGeometry CalculatorVerify Solution
AppsSymbolab App (Android)Graphing Calculator (Android)Practice (Android)Symbolab App (iOS)Graphing Calculator (iOS)Practice (iOS)Chrome ExtensionSymbolab Math Solver API
CompanyAbout SymbolabBlogHelp
LegalPrivacyTermsCookie PolicyCookie SettingsDo Not Sell or Share My Personal InfoCopyright, Community Guidelines, DSA & other Legal ResourcesLearneo Legal Center
Social Media
Symbolab, a Learneo, Inc. business
© Learneo, Inc. 2024