What is the integral from-5 to 5 of x(25-x^2) ?

The integral from-5 to 5 of x(25-x^2) is 0

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integral from-5 to 5 of x(25-x^2)

\int_{- 5}^{5} x (25 - x^{2}) d x

0

Solution steps

\int_{- 5}^{5} x (25 - x^{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

x (25 - x^{2}) :

Odd

= 0

\int 7 x^{2} + 3 x - 3 d x

\frac{\partial}{\partial x} (2 y e^{2 x y})

f (x) = \frac{x}{1 - ln ( x - 6 )}

2 x + 2 y \frac{d y}{d x} = 0

\int_{0}^{5 r} 2 (25 r^{2} - y^{2}) d y

What is the integral from-5 to 5 of x(25-x^2) ?
The integral from-5 to 5 of x(25-x^2) is 0