What is the integral from-1/2 to 1/2 of x ?

The integral from-1/2 to 1/2 of x is 0

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integral from-1/2 to 1/2 of x

\int_{- \frac{1}{2}}^{\frac{1}{2}} x d x

0

Solution steps

\int_{- \frac{1}{2}}^{\frac{1}{2}} x 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 :

Odd

= 0

\int_{3}^{6} \frac{1}{x - 2} d x

\int_{0}^{1} (x^{3} - x^{4}) d x

\int_{0}^{4} x ln (4 x) d x

\int_{0}^{1} 6 t^{3} d t

\int_{0}^{1} (3 - 2 t + t^{2}) d t

What is the integral from-1/2 to 1/2 of x ?
The integral from-1/2 to 1/2 of x is 0