What is the integral of x^2*((1-2)/x)^2 ?

The integral of x^2*((1-2)/x)^2 is x+C

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integral of x^2*((1-2)/x)^2

integral

x^{2} \cdot (\frac{1 - 2}{x})^{2}

x + C

Solution steps

\int x^{2} (\frac{1 - 2}{x})^{2} d x

x^{2} (\frac{1 - 2}{x})^{2} = 1

= \int 1 d x

Integral of a constant:

\int a d x = a x

= 1 \cdot x

Simplify

= x

Add a constant to the solution

= x + C

(1 + x tan (x) - sin (x)) sec^{2} (x)

cos^{2} (x) - sin^{2} (x)

\frac{( 1 - x )}{( x + 2 )}

5 + 2 x

\frac{( 1 + sin ( x ) )}{cos ( x )}

What is the integral of x^2*((1-2)/x)^2 ?
The integral of x^2*((1-2)/x)^2 is x+C