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Step-by-step Solution

Simplify the expression $\frac{\int_{0}^{\frac{2}{\sqrt{2}}}_{\frac{2}{\sqrt{2}}}^{0}_{0}^{\frac{2}{\sqrt{2}}} x\left(\sin\left(x\right)-\cos\left(x\right)\right)dx}{\int\left(\sin\left(x\right)-\cos\left(x\right)\right)dx}$

Go!
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Step-by-step explanation

Problem to solve:

$\frac{\int_0^{\frac{\pi\:}{4}}x\left(\sin\:\left(x\right)-\cos\:\left(x\right)\right)dx}{\int_0^{\frac{\pi\:}{4}}\sin\:\left(x\right)-\cos\:\left(x\right)dx}$

Answer

We cannot solve this problem. But soon we will!
$\frac{\int_0^{\frac{\pi\:}{4}}x\left(\sin\:\left(x\right)-\cos\:\left(x\right)\right)dx}{\int_0^{\frac{\pi\:}{4}}\sin\:\left(x\right)-\cos\:\left(x\right)dx}$

Main topic:

Simplification of algebraic fractions

Used formulas:

1. See formulas

Time to solve it:

~ 0.56 seconds