What is the integral of (x^3)^{33}x^3)^3 ?

The integral of (x^3)^{33}x^3)^3 is x^{972}+C

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integral of (x^3)^{33}x^3)^3

\int (((x^{3})^{3})^{3})^{33} d (((x^{3})^{3})^{3})^{3}

x^{972} + C

Solution steps

\int (((x^{3})^{3})^{3})^{33} d (((x^{3})^{3})^{3})^{3}

Integral of a constant:

\int a d x = a x

= (((x^{3})^{3})^{3})^{33} (((x^{3})^{3})^{3})^{3}

Simplify

(((x^{3})^{3})^{3})^{33} (((x^{3})^{3})^{3})^{3} : x^{972}

= x^{972}

Add a constant to the solution

= x^{972} + C

What is the integral of (x^3)^{33}x^3)^3 ?
The integral of (x^3)^{33}x^3)^3 is x^{972}+C