What is the integral from-2 to 2 of xsqrt(1-x^2) ?

The integral from-2 to 2 of xsqrt(1-x^2) is 0

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

integral from-2 to 2 of xsqrt(1-x^2)

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

0

Solution steps

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

Odd

= 0

\int_{- 3}^{3} 8 x^{3} d x

\int_{1}^{5} ln (3 x) - ln (x) d x

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

\int_{- 2}^{4} \frac{x}{2} d x

\int_{0}^{s} 2 e^{x} d x

What is the integral from-2 to 2 of xsqrt(1-x^2) ?
The integral from-2 to 2 of xsqrt(1-x^2) is 0