What is the integral from-pi to pi of x^4sin(x) ?

The integral from-pi to pi of x^4sin(x) is 0

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integral from-pi to pi of x^4sin(x)

\int_{- π}^{π} x^{4} sin (x) d x

0

Solution steps

\int_{- π}^{π} x^{4} sin (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^{4} sin (x) :

Odd

= 0

\int_{0}^{\frac{1}{2}} sin (π x) d x

\int_{4}^{9} \frac{x}{x - 1} d x

\int_{\frac{1}{2}}^{\frac{1}{3}} cos (π x) d x

\int_{0}^{π} x cos (x^{2}) d x

\int_{0}^{\frac{π}{2}} cos (2 w) d w

What is the integral from-pi to pi of x^4sin(x) ?
The integral from-pi to pi of x^4sin(x) is 0