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

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

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integral from-pi/2 to pi/2 of xsin(x^2)

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

0

Solution steps

\int_{- \frac{π}{2}}^{\frac{π}{2}} x sin (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 sin (x^{2}) :

Odd

= 0

\int_{0}^{1} \frac{e ^{x}}{x} d x

\int_{0}^{5} (x^{2} - 2) d x

\int_{- 1}^{1} (x^{3} - x^{6}) d x

\int_{0}^{2 π} 2 - 2 cos (x) d x

\int_{x}^{x^{2}} sin (t) d t

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