Integrals of Exponential Functions Calculator

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Example

Created on 2024-06-20Asked by Liam Gonzalez (Solvelet student)

Evaluate the integral

\int e^x \, dx

Solution

To evaluate the integral

\int e^x \, dx

: Since the integrand is an exponential function, its integral is the same exponential function:

\int e^x \, dx = e^x + C

Therefore, the integral

\int e^x \, dx

is:

\int e^x \, dx = e^x + C

Where

C

is the constant of integration. Solved on Solvelet with Basic AI Model

Some of the related questions asked by Harper Taylor on Solvelet

1. Evaluate the integral

\int_0^1 e^{2x} \, dx

,2. Find the area under the curve

y = x^2 - 3x + 2

over the interval

[1, 3]

using integration.

DefinitionIntegrals of some exponential functions involve the integral of of functions of the form eax or ax. Integrals are mostly reduced to solving integrals of exponential functions. Numerous in nature and widely employed in differential equations, growth, decay, mathematical modeling of complex system in various fields of scientific research. For example, the integral ∫eaxdx=a1eax+C where C is the constant of integration.

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