4 Questions
What is the integral of $5^x$ with respect to x?
$\frac{5^x}{\ln(5)} + C$
What is the antiderivative of $5^x$?
$\frac{5^x}{\ln(5)} + C$
What is the indefinite integral of $5^x$?
$\frac{5^x}{\ln(5)} + C$
What is the integral of an exponential function $a^x$?
$\frac{a^x}{\ln(a)} + C$
Study Notes
Exponential Functions Integration
- The integral of $5^x$ with respect to x is $\frac{5^x}{\ln 5} + C$, where $C$ is the constant of integration.
- The antiderivative of $5^x$ is $\frac{5^x}{\ln 5} + C$, which is a general form of the integral.
- The indefinite integral of $5^x$ is also $\frac{5^x}{\ln 5} + C$, emphasizing the non-specific limits of integration.
- The integral of an exponential function $a^x$ is $\frac{a^x}{\ln a} + C$, where $a$ is a positive real number and $a \neq 1$.
Test your knowledge of finding the indefinite integral of exponential functions with this quiz. Explore the antiderivatives of functions in the form of $a^x$ and enhance your integration skills.
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