LaTeX
\int e^x\,dx=e^x+CVariables
- C: integration constant
How to use this formula
Integrates the natural exponential function.
Important notes
- For e^{ax}, divide by a.
Quick example
∫e^{2x}dx=e^{2x}/2+C.
Applicability, worked calculation, and verification
Assumptions and domain checks
- For e^{ax}, divide by a.
- Integration limits, the differential, and any constant of integration must be included where required.
- The function must satisfy the differentiability, continuity, or integrability conditions required by the operation being used.
Worked example
∫e^{2x}dx=e^{2x}/2+C.
Common mistakes
- Keep the integration bounds and differential attached to Integral of Exponential, and include a constant of integration for an indefinite integral.
- Do not apply a differentiation or integration rule outside its domain or omit endpoint, continuity, or constant-of-integration checks.
Continue the workflow
Use Integral of Exponential in your own work
- Check the domainMatch the variables and assumptions to the problem before substituting values.
- Copy the exact notationPreserve grouping, signs, and exponents in
\int e^x\,dx=e^x+C. - Edit or convertOpen the expression in the LaTeX editor, then export it for your document or web page.
Review and verification
Last reviewed: 2026-07-23
Automated quality check: Kept noindex until the missing evidence is supplied.
Formula references
- Calculus Volume 1OpenStax, Rice University — Reviewed limits, derivatives, integrals, and foundational calculus formulas.
Frequently asked questions
What is the Integral of Exponential used for?
Integrates the natural exponential function.
Can I copy this formula as LaTeX?
Yes. Copy \int e^x\,dx=e^x+C or open it in the LaTeX editor.
What should I check before using it?
Confirm that each variable, unit, domain restriction, and assumption matches the problem.