What is the integral from-1 to 1 of (x^3-x^5) ?

The integral from-1 to 1 of (x^3-x^5) is 0

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integral from-1 to 1 of (x^3-x^5)

\int_{- 1}^{1} (x^{3} - x^{5}) d x

0

Solution steps

\int_{- 1}^{1} x^{3} - x^{5} 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^{3} - x^{5} :

Odd

= 0

\int_{2}^{3} \frac{2 x}{1 + x ^{2}} d x

\int_{0}^{3} e^{\frac{x}{3}} (x^{2} + 2 x) d x

\int_{- 2}^{2} \frac{8}{4 + x ^{2}} d x

\int_{2}^{4} (x^{2} + 2 x) d x

\int_{- 1}^{0} - x cos (nπ x) d x

What is the integral from-1 to 1 of (x^3-x^5) ?
The integral from-1 to 1 of (x^3-x^5) is 0