What is the integral from-2 to 2 of 4x^2-x^4 ?

The integral from-2 to 2 of 4x^2-x^4 is 128/15

Popular >

integral from-2 to 2 of 4x^2-x^4

\int_{- 2}^{2} 4 x^{2} - x^{4} d x

\frac{128}{15}

Solution steps

\int_{- 2}^{2} 4 x^{2} - x^{4} d x

Apply the Sum Rule:

\int f (x) \pm g (x) d x = \int f (x) d x \pm \int g (x) d x

= \int_{- 2}^{2} 4 x^{2} d x - \int_{- 2}^{2} x^{4} d x

\int_{- 2}^{2} 4 x^{2} d x = \frac{64}{3}

\int_{- 2}^{2} x^{4} d x = \frac{64}{5}

= \frac{64}{3} - \frac{64}{5}

Simplify

\frac{64}{3} - \frac{64}{5} : \frac{128}{15}

= \frac{128}{15}

\int_{- 2}^{2} x^{2} - 6 x + 5 d x

\int_{\frac{π}{6}}^{\frac{π}{3}} 7 csc^{3} (x) d x

\int_{1}^{5} \frac{x ^{2} + 4}{x} d x

\int_{1}^{3} 15 x^{2} d x

\int_{0}^{1} e^{x} ln (e^{x} + 1) d x

What is the integral from-2 to 2 of 4x^2-x^4 ?
The integral from-2 to 2 of 4x^2-x^4 is 128/15