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juantheron
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$\displaystyle \int \frac{e^x}{1+x}dx$
jacks said:$\displaystyle \int \frac{e^x}{1+x}dx$
An indefinite integral is the reverse process of differentiation. It is used to find the original function when its derivative is known.
Indefinite integrals can be solved using integration techniques such as substitution, integration by parts, or partial fractions.
The indefinite integral of $e^x/(1+x)$ is $\ln(1+x) + C$, where C is the constant of integration.
Finding indefinite integrals is useful in many fields of science, especially in physics and engineering, where it can be used to solve problems involving rates of change and accumulation of quantities.
Yes, indefinite integrals can have multiple solutions that differ by a constant value. This is because the derivative of a constant is always 0, so adding a constant to the solution does not change its derivative.