What is the integral of arctan((x^2)^2)x^2)^2 ?

The integral of arctan((x^2)^2)x^2)^2 is x^{16}arctan(x^{16})+C

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integral of arctan((x^2)^2)x^2)^2

\int arctan ((((x^{2})^{2})^{2})^{2}) d (((x^{2})^{2})^{2})^{2}

x^{16} arctan (x^{16}) + C

Solution steps

\int arctan ((((x^{2})^{2})^{2})^{2}) d (((x^{2})^{2})^{2})^{2}

(((x^{2})^{2})^{2})^{2} = x^{16}

= \int arctan (x^{16}) d (((x^{2})^{2})^{2})^{2}

Integral of a constant:

\int a d x = a x

= arctan (x^{16}) (((x^{2})^{2})^{2})^{2}

(((x^{2})^{2})^{2})^{2} = x^{16}

= x^{16} arctan (x^{16})

Add a constant to the solution

= x^{16} arctan (x^{16}) + C

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What is the integral of arctan((x^2)^2)x^2)^2 ?
The integral of arctan((x^2)^2)x^2)^2 is x^{16}arctan(x^{16})+C