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Integrate the function $4e^{\left(2x-4\right)}$ from $3$ to $\infty $

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Solution

Formulas

Videos

Calculus - Solving Rational Equations, ((4x + 1)/4) - ((2x + 3)/3) = 7/12

https://www.youtube.com/watch?v=1J6QI7lmlj4

Limit examples (part 3) | Limits | Differential Calculus | Khan Academy

https://www.youtube.com/watch?v=gWSDDopD9sk

Calculus - Mulitiplying Rational Expressions, ((x^2 - 2x - 3)/(x^2 - 1)) . ((3x - 3)/(x^2 - 4x + 3))

https://www.youtube.com/watch?v=eB9q_okoWFA

Calculus - How to find the limit of continuous functions, lim(x tends to -3) (x^2 - 8)

https://www.youtube.com/watch?v=RbT5vQajMio

Calculus - Evaluating a limit at infinity horizontal asymptote, lim(x tends to infinity)(2x-1)/(x+1)

https://www.youtube.com/watch?v=miPOf5lXfpw

2017 AP Calculus AB/BC 4c | AP Calculus AB solved exams | AP Calculus AB | Khan Academy

https://www.youtube.com/watch?v=0DGrdJA5Mx4

Function Plot

Plotting: $4e^{\left(2x-4\right)}$

Similar Problems Solved

$\frac{d}{dx}\left(\arcsin\left(\sqrt{2x}\right)\right)$

$\frac{d}{dx}\left(\arccot\left(\sqrt{x}\right)\right)$

$\frac{d}{dx}\left(\arcsin\sqrt{x}\right)$

$\frac{d}{dx}\left(\arctan\left(x-\sqrt{1+x^2}\right)\right)$

$\frac{d}{dx}\arccos\left(\sqrt{x}\right)$

$\frac{d}{dx}\left(x^2\arccos\left(x\right)\right)$

$\frac{d}{dx}\arctan\left(x-\sqrt{1+x^2}\right)$

Main Topic: Differential Calculus

The derivative of a function of a real variable measures the sensitivity to change of a quantity (a function value or dependent variable) which is determined by another quantity (the independent variable). Derivatives are a fundamental tool of calculus.

Used Formulas

See formulas (2)

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