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

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

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

\int_{- 1}^{1} 2 x sin (1 - x^{2}) d x

0

Solution steps

\int_{- 1}^{1} 2 x sin (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

2 x sin (1 - x^{2}) :

Odd

= 0

x^{2 + 6 x}

\int \frac{cos ( 2 x ) - 3}{cos ( 2 x )} d x

\int \frac{1}{10} e^{- \frac{x}{10}} d x

\int - tan^{2} (x) d x

\int \frac{x}{121 x ^{2} - 1} d x

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