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

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

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

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

0

Solution steps

\int_{- 3}^{3} x x^{4} + 1 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 x^{4} + 1 :

Odd

= 0

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\int_{1}^{- 1} x d x

\int_{0}^{π} (4 cos (x) + 3) d x

\int_{- 2}^{x} (22 t^{2} - 21 t) d t

\int_{1}^{5} - \frac{5}{x ^{2}} d x

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