What is the integral from-5 to 5 of x^3 ?

The integral from-5 to 5 of x^3 is 0

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integral from-5 to 5 of x^3

\int_{- 5}^{5} x^{3} d x

0

Solution steps

\int_{- 5}^{5} x^{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} :

Odd

= 0

\int_{0}^{2} x (1 - \frac{x}{2}) d x

\int_{2}^{6} (8 - x) d x

\int_{0}^{1} t^{3} (5 + t^{4})^{3} d t

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

\int_{- 3}^{0} x^{2} + 3 x d x