What is the integral from-2 to 2 of (x^3)/2 ?

The integral from-2 to 2 of (x^3)/2 is 0

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integral from-2 to 2 of (x^3)/2

\int_{- 2}^{2} \frac{x ^{3}}{2} d x

0

Solution steps

\int_{- 2}^{2} \frac{x ^{3}}{2} 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

\frac{x ^{3}}{2} :

Odd

= 0

\int_{0}^{\frac{π}{3}} 3 sin (x) d x

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

\int_{1}^{8} \frac{12 x}{x ^{2} + 6} d x

\int_{1}^{2} (2 x + 4) d x

\int_{0}^{a} x d x

What is the integral from-2 to 2 of (x^3)/2 ?
The integral from-2 to 2 of (x^3)/2 is 0