What is the integral from-1 to 1 of x^6sin(x)cos(x) ?

The integral from-1 to 1 of x^6sin(x)cos(x) is 0

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integral from-1 to 1 of x^6sin(x)cos(x)

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

0

Solution steps

\int_{- 1}^{1} x^{6} sin (x) cos (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^{6} sin (x) cos (x) :

Odd

= 0

\int_{- 2}^{3} (x^{2} + 3 x - 1) d x

\int_{e^{9}}^{e^{49}} \frac{1}{x ln ( x )} d x

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

\int_{- 6}^{3} - x^{2} - 3 x d x

\int_{- 8}^{8} e d x

What is the integral from-1 to 1 of x^6sin(x)cos(x) ?
The integral from-1 to 1 of x^6sin(x)cos(x) is 0