What is the integral from-2 to 2 of 3x^3-x^2+5x-4 ?

The integral from-2 to 2 of 3x^3-x^2+5x-4 is -64/3

Popular >

integral from-2 to 2 of 3x^3-x^2+5x-4

\int_{- 2}^{2} 3 x^{3} - x^{2} + 5 x - 4 d x

- \frac{64}{3}

Decimal

- 21.33333 \dots

Solution steps

\int_{- 2}^{2} 3 x^{3} - x^{2} + 5 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} 3 x^{3} d x - \int_{- 2}^{2} x^{2} d x + \int_{- 2}^{2} 5 x d x - \int_{- 2}^{2} 4 d x

\int_{- 2}^{2} 3 x^{3} d x = 0

\int_{- 2}^{2} x^{2} d x = \frac{16}{3}

\int_{- 2}^{2} 5 x d x = 0

\int_{- 2}^{2} 4 d x = 16

= 0 - \frac{16}{3} + 0 - 16

Simplify

0 - \frac{16}{3} + 0 - 16 : - \frac{64}{3}

= - \frac{64}{3}

\int_{1}^{4} x - 1 - (x^{2} - 4 x + 3) d x

\int_{0}^{3} 2 y^{2} - 6 y d y

\int_{1}^{3} π (\frac{1}{x})^{2} d x

\int_{0}^{\frac{π}{4}} 4 sec (θ) tan (θ) d θ

\int_{0}^{8} \frac{x}{9 + 5 x} d x

What is the integral from-2 to 2 of 3x^3-x^2+5x-4 ?
The integral from-2 to 2 of 3x^3-x^2+5x-4 is -64/3