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

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

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integral from-2/a to 2/a of (ax)^3

\int_{- \frac{2}{a}}^{\frac{2}{a}} (a x)^{3} d x

0

Solution steps

\int_{- \frac{2}{a}}^{\frac{2}{a}} (a 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

(a x)^{3} :

Odd

= 0

\int_{0}^{1} - e^{- s t} d t

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\int_{0}^{4} 9 - x^{2} d x

\int_{- 1}^{1} sin (x) cos (x) d x

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

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