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

The integral from-3 to 2 of 4x^3-2x^2+x+5 is -395/6

Popular >

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

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

- \frac{395}{6}

Decimal Notation

- 65.83333 \dots

Solution steps

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

\int_{- 3}^{2} 4 x^{3} d x = - 65

\int_{- 3}^{2} 2 x^{2} d x = \frac{70}{3}

\int_{- 3}^{2} x d x = - \frac{5}{2}

\int_{- 3}^{2} 5 d x = 25

= - 65 - \frac{70}{3} - \frac{5}{2} + 25

Simplify

- 65 - \frac{70}{3} - \frac{5}{2} + 25 : - \frac{395}{6}

= - \frac{395}{6}

\int_{0.4}^{5.2} k x^{2} d x

\int_{0}^{3} s^{3} 81 - s^{4} d s

\int_{2 x^{2}}^{x^{4}} 2 t + t^{2} d t

\int_{- 2}^{0} (3 x 4 - x^{2}) d x

\int_{0}^{1} x^{3} (2 + x^{4}) d x

What is the integral from-3 to 2 of 4x^3-2x^2+x+5 ?
The integral from-3 to 2 of 4x^3-2x^2+x+5 is -395/6