In integral calculus, some functions are formed with exponential functions. For calculating the integrals of such functions, some special rules are required. The following is the list of integration formulas with proofs for finding the integration of the functions in which the exponential functions are involved.

$\displaystyle \int{a^{\displaystyle x}\,}dx$ $\,=\,$ $\dfrac{a^{\displaystyle x}}{\log_{e}{a}}+c$

The integral of the exponential function is equal to the sum of the quotient of exponential function by the natural logarithm of the base and the integral constant.

$\displaystyle \int{e^{\displaystyle x}\,}dx$ $\,=\,$ $e^{\displaystyle x}+c$

The integral of the natural exponential function is equal to the sum of the natural exponential function and the integral constant.

List of the integral problems with solutions to learn how to use the integral rules of exponential functions to find the integrals of the functions in which exponential functions are involved.

Latest Math Topics

Mar 21, 2023

Feb 25, 2023

Feb 17, 2023

Feb 10, 2023

Jan 15, 2023

Latest Math Problems

Mar 03, 2023

Mar 01, 2023

Feb 27, 2023

A best free mathematics education website for students, teachers and researchers.

Learn each topic of the mathematics easily with understandable proofs and visual animation graphics.

Learn how to solve the math problems in different methods with understandable steps and worksheets on every concept for your practice.

Copyright © 2012 - 2022 Math Doubts, All Rights Reserved