Get the free Evaluate integral of e(-x) with respect to xMathway

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How to fill out evaluate integral of e-x

How to fill out evaluate integral of e-x

1. To evaluate the integral of e^(-x), you can follow these steps:
2. Start by writing down the integral: ∫ e^(-x) dx
3. Use the rule for integrating exponential functions: ∫ e^(kx) dx = (1/k) * e^(kx) + C
4. Since there is no coefficient in front of x, k = -1.
5. Apply the rule to the integral: ∫ e^(-x) dx = (1/(-1)) * e^(-x) + C
6. Simplify the expression: ∫ e^(-x) dx = -e^(-x) + C
7. Add the constant of integration, represented by C, which is a constant value.
8. The final result is: ∫ e^(-x) dx = -e^(-x) + C

Who needs evaluate integral of e-x?

1. Evaluating the integral of e^(-x) is useful in many branches of mathematics and science.
2. It is commonly used in calculus to solve various problems related to exponential decay, such as finding the half-life of a radioactive substance.
3. It is also used in probability theory and statistics to model continuous probability distributions, such as the normal distribution.
4. Additionally, engineers and physicists often encounter this integral when studying systems that exhibit exponential decay or growth.

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What is evaluate integral of e-x?

The integral of e^{-x} with respect to x is -e^{-x} + C, where C is the constant of integration.

Who is required to file evaluate integral of e-x?

There is no specific requirement to file an integral of the function e^{-x}, as it is a mathematical expression rather than a legal or tax document.

How to fill out evaluate integral of e-x?

To solve the integral of e^{-x}, apply the fundamental theorem of calculus: ∫ e^{-x} dx = -e^{-x} + C.

What is the purpose of evaluate integral of e-x?

The purpose of evaluating the integral of e^{-x} is to find the antiderivative, which can be used in various applications in mathematics and physics.

What information must be reported on evaluate integral of e-x?

The integral itself is the primary information reported, along with the constant of integration C when solving for indefinite integrals.