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\int\frac{1}{x^2}\cdot\cos\left(\frac{1}{x}\right)dx

Integrate 1/(x^2)cos(1/x)

Answer

$-\sin\left(\frac{1}{x}\right)+C_0$

Step-by-step explanation

Problem

$\int\frac{1}{x^2}\cdot\cos\left(\frac{1}{x}\right)dx$
1

Solve the integral $\int\frac{1}{x^2}\cos\left(\frac{1}{x}\right)dx$ applying u-substitution. Let $u$ and $du$ be

$\begin{matrix}u=\frac{1}{x} \\ du=\frac{-1}{x^2}dx\end{matrix}$

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Answer

$-\sin\left(\frac{1}{x}\right)+C_0$

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$\int\frac{1}{x^2}\cdot\cos\left(\frac{1}{x}\right)dx$

Main topic:

Integration by substitution

Used formulas:

6. See formulas

Time to solve it:

0.61 seconds