Integral e^x

e^x|_a^b.
Created by
Renato Passos, Eng. de Software
Reviewed by
Renato Passos, Eng. de Software

Last updated: Apr 18, 2026

1,7183

Formula

∫e^x

About this calculator

The exponential integral calculator helps to calculate the integral of the exponential function e^x, which is an essential function in mathematical analysis and science.

This calculator uses the integration formula of the e^x function, known as the exponential integration formula. The formula is: ∫e^x dx = e^x + C.

The exponential integral calculator is useful in various situations, such as when you need to calculate the probability of events in physics, the probability distribution in statistics or the probability density function in data analysis.

However, it is essential to be careful when using this calculator, as the exponential integral can be very large and may cause rounding errors. Additionally, it is essential to verify the validity of the integral before using the result.

Frequently asked questions

What is the exponential integral?

The exponential integral is the integral of the function e^x, which is an essential function in mathematical analysis and science.

When to use the exponential integral calculator?

The exponential integral calculator is useful in various situations, such as when you need to calculate the probability of events in physics, the probability distribution in statistics or the probability density function in data analysis.

Why the exponential integral may cause rounding errors?

The exponential integral may cause rounding errors because it can be very large and may exceed the computer's rounding capacity.

How to verify the validity of the integral?

It is essential to verify the validity of the integral before using the result, checking if the integral is within the integration interval and if the result is reasonable.

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