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\int x\sqrt{2\sin\left(x\right)^2+2\cos\left(x\right)^2}dx

Integrate x(2sin(x)^2+2cos(x)^2)^0.5

Answer

$\int\inftydu$

Step-by-step explanation

Problem

$\int x\sqrt{2\sin\left(x\right)^2+2\cos\left(x\right)^2}dx$
1

Solve the integral $\int\sqrt{2\cos\left(x\right)^2+2\sin\left(x\right)^2}xdx$ applying u-substitution. Let $u$ and $du$ be

$\begin{matrix}u=\sqrt{2\cos\left(x\right)^2+2\sin\left(x\right)^2} \\ du=0dx\end{matrix}$

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Answer

$\int\inftydu$

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$\int x\sqrt{2\sin\left(x\right)^2+2\cos\left(x\right)^2}dx$

Main topic:

Integration by substitution

Used formulas:

3. See formulas

Time to solve it:

~ 1.63 seconds