Final answer to the problem
$\frac{\pi }{2\sqrt{3}}+\frac{-1}{\sqrt{3}}\arctan\left(\frac{\sqrt{3}}{3}\right)$
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Step-by-step Solution
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- Write in simplest form
- Prime Factor Decomposition
- Solve by quadratic formula (general formula)
- Find the derivative using the definition
- Simplify
- Find the integral
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1
Calculate the power $e^0$
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$\frac{1}{\sqrt{3}}\arctan\left(\frac{\sqrt{3}}{3}\cdot e^{\infty }\right)+\frac{-1}{\sqrt{3}}\arctan\left(1\left(\frac{\sqrt{3}}{3}\right)\right)$
Learn how to solve problems step by step online. Simplify the expression with infinity 1/(3^(1/2))arctan((3^(1/2))/3e to the power infinity)-1/(3^(1/2))arctan((3^(1/2))/3e^0). Calculate the power e^0. Any expression multiplied by 1 is equal to itself. Apply a property of infinity: k^{\infty}=\infty if k>1. In this case k has the value e. Any expression multiplied by infinity tends to infinity, in other words: \infty\cdot(\pm n)=\pm\infty, if n\neq0.
Final answer to the problem
$\frac{\pi }{2\sqrt{3}}+\frac{-1}{\sqrt{3}}\arctan\left(\frac{\sqrt{3}}{3}\right)$
