What is the parity y=ln|sqrt(e^{1+x^2)+3x^4}+cot^2(pix)| ?

The parity y=ln|sqrt(e^{1+x^2)+3x^4}+cot^2(pix)| is Even

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parity y=ln|sqrt(e^{1+x^2)+3x^4}+cot^2(pix)|

parity

y = ln e^{1 + x^{2}} + 3 x^{4} + cot^{2} (π x)

Even

Solution steps

f (- x) : ln cot^{2} (π x) + e^{x^{2} + 1} + 3 x^{4}

- f (x) : - ln e^{1 + x^{2}} + 3 x^{4} + cot^{2} (π x)

Check parity of

ln e^{1 + x^{2}} + 3 x^{4} + cot^{2} (π x)

Check if Even:

True

Check if Odd:

False

Even

x \to 0 - lim (\frac{1}{x} - \frac{1}{x})

(7, - 3), (11, - 4)

\int_{- \infty}^{0} x e^{x^{2}} d x

\int x^{2} cos (x) + 2 x sin (x) d x

x \to 0 lim (\frac{5 x}{x ^{2}})

What is the parity y=ln|sqrt(e^{1+x^2)+3x^4}+cot^2(pix)| ?
The parity y=ln|sqrt(e^{1+x^2)+3x^4}+cot^2(pix)| is Even