Final answer to the problem
$\frac{\frac{\pi }{2}-\arctan\left(\sqrt{5}\right)}{\sqrt{5}}$
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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
- Find the derivative
- Factor
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1
Multiply $5$ times $1$
Learn how to solve operations with infinity problems step by step online.
$\frac{\arctan\left(\sqrt{5\cdot \infty }\right)}{\sqrt{5}}+\frac{-\arctan\left(\sqrt{5}\right)}{\sqrt{5}}$
Learn how to solve operations with infinity problems step by step online. Simplify the expression with infinity arctan((5infinity)^(1/2))/(5^(1/2))+(-arctan((5*1)^(1/2)))/(5^(1/2)). Multiply 5 times 1. Combine fractions with common denominator \sqrt{5}. Any expression multiplied by infinity tends to infinity, in other words: \infty\cdot(\pm n)=\pm\infty, if n\neq0. Infinity to the power of any positive number is equal to infinity, so \sqrt{\infty }=\infty.
Final answer to the problem
$\frac{\frac{\pi }{2}-\arctan\left(\sqrt{5}\right)}{\sqrt{5}}$
