What is the integral from-1 to 1 of x^3(3+x^4)^3 ?

The integral from-1 to 1 of x^3(3+x^4)^3 is 0

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integral from-1 to 1 of x^3(3+x^4)^3

\int_{- 1}^{1} x^{3} (3 + x^{4})^{3} d x

0

Solution steps

\int_{- 1}^{1} x^{3} (3 + x^{4})^{3} d x

If f(x) is an odd function and continuous at:

[- a, a]

then

\int_{- a}^{a} f (x) d x = 0

Parity of

x^{3} (3 + x^{4})^{3} :

Odd

= 0

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What is the integral from-1 to 1 of x^3(3+x^4)^3 ?
The integral from-1 to 1 of x^3(3+x^4)^3 is 0