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

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

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integral from-3 to 3 of x^3

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

0

Solution steps

\int_{- 3}^{3} 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

\frac{d}{d x} (ln (1 + 3 x) + x ln (x))

\frac{d}{d x} (3 x (x^{3} - 1))

\frac{d}{d x} (\frac{1}{( 3 x ^{2} + x + 2 ) ^{5}})

\int \frac{- 10}{( x - 2 ) ( x ^{2} + 4 )} d x

\int \frac{tan ^{4} ( x )}{sec ^{5} ( x )} d x