What is the integral from-2pi to 2pi of x^2*sin(2x) ?

The integral from-2pi to 2pi of x^2*sin(2x) is 0

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integral from-2pi to 2pi of x^2*sin(2x)

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

0

Solution steps

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

Odd

= 0

\int_{- 1}^{2} (4 - x^{2}) - (2 - x) d x

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

\int_{- 1}^{1} t (7 - t)^{2} d t

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

\int_{3}^{4} x^{- 3} d x

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