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Dae
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The integral of e is e right? So if you were to take the integral of 24+e^(5t) (acceleration), it would be 24t+e^(5t) (velocity)?
Dae said:If I were taking the integral of e^(5t)*5, the 5 would be a constant, so since the constant of just plain e^(5t) is 1..
Maybe you could please solve it for me?
The formula for the integral of e is ex + C, where C is the constant of integration.
To solve the integral of e, you can use the power rule for integration, which states that the integral of xn is xn+1/n+1. In the case of e, the exponent is 1, so the integral becomes ex+1/(x+1).
The integral of e has many applications in mathematics, particularly in calculus and differential equations. It is also used in various areas of science and engineering, such as in modeling growth and decay processes.
Sure, for example, to find the integral of ex, we can use the formula mentioned earlier: ex+1/(x+1). So, the integral of ex is ex + C.
No, the integral of e is not always equal to ex. The integral adds a constant of integration, which makes the two not equivalent. However, when solving definite integrals, the constant of integration can often be canceled out, making the two equal.