What is the parity y=(2x-sin(2x))/(x^2+cos(x^2)) ?

The parity y=(2x-sin(2x))/(x^2+cos(x^2)) is Odd

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parity y=(2x-sin(2x))/(x^2+cos(x^2))

parity

y = \frac{2 x - sin ( 2 x )}{x ^{2} + cos ( x ^{2} )}

Odd

Solution steps

f (- x) : \frac{sin ( 2 x ) - 2 x}{cos ( x ^{2} ) + x ^{2}}

- f (x) : - \frac{2 x - sin ( 2 x )}{x ^{2} + cos ( x ^{2} )}

Check parity of

\frac{2 x - sin ( 2 x )}{x ^{2} + cos ( x ^{2} )}

Check if Even:

False

Check if Odd:

True

Odd

\int \frac{( 1 0 ^{2 x} + 1 )}{( 1 0 ^{x} - 1 )} d x

\int \frac{( x ^{2} - 16 )}{( x - 4 )} d x

\int_{2}^{4} \frac{1}{x} d x

\int \frac{4}{cos ^{2} ( x )} d x

\int 4 x^{3} (2 x^{4} - e) d x

What is the parity y=(2x-sin(2x))/(x^2+cos(x^2)) ?
The parity y=(2x-sin(2x))/(x^2+cos(x^2)) is Odd