What is the integral from-1 to 1 of x^4sin(x) ?

The integral from-1 to 1 of x^4sin(x) is 0

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integral from-1 to 1 of x^4sin(x)

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

0

Solution steps

\int_{- 1}^{1} 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}^{\infty} x cos (x) d x

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

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

\int_{- 1}^{2} 3^{x} d x

\int_{1}^{5} \frac{12 ( ln ( x ) ) ^{3}}{x} d x

What is the integral from-1 to 1 of x^4sin(x) ?
The integral from-1 to 1 of x^4sin(x) is 0