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If $T(t)=T$ is constant, compute $(4),$ obtaining a specific formula for $S$ analogous to (3). Check your result by multiplying (3) by $e^{r t}.$

$A=T\left[\frac{\ell^{n-1}}{r}\right]$

Calculus 1 / AB

Chapter 5

Integration and its Applications

Section 8

Applications of the Definite Integral

Integrals

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05:53

In mathematics, an indefinite integral is an integral whose integrand is not known in terms of elementary functions. An indefinite integral is usually encountered when integrating functions that are not elementary functions themselves.

40:35

In mathematics, integration is one of the two main operations of calculus, with its inverse operation, differentiation, being the other. Given a function of a real variable (often called "the integrand"), an antiderivative is a function whose derivative is the given function. The area under a real-valued function of a real variable is the integral of the function, provided it is defined on a closed interval around a given point. It is a basic result of calculus that an antiderivative always exists, and is equal to the original function evaluated at the upper limit of integration.

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In the given question, we need to find the derivative of this function. Now this can witness the validity of 80 q minus doing my duty authority, not taking the constant ourselves. This can written us a time stay by deity of the queue -4 times day, by duty of the. Now this will be called to a multiplied by now, differentiation of two to the power. Three will be three T square minus four. A multiplied by the reality of tea is one, so this is called 23 80 square minus four, he said. That final answer.

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