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Popular >

integral from-2 to 1 of (2x^3+1)

Solution

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

Solution

- \frac{9}{2}

+1

Decimal Notation

- 4.5

Solution steps

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

\int_{- 2}^{1} 2 x^{3} d x = - \frac{15}{2}

\int_{- 2}^{1} 1 d x = 3

= - \frac{15}{2} + 3

Simplify

- \frac{15}{2} + 3 : - \frac{9}{2}

= - \frac{9}{2}

Popular Examples

integral from 0 to 4 of x/(sqrt(8-x))

\int_{0}^{4} \frac{x}{8 - x} d x

integral from 0 to pi/(16) of sin^5(8x)

\int_{0}^{\frac{π}{16}} sin^{5} (8 x) d x

integral from 0 to 1 of 1/(x^3-5x^2)

\int_{0}^{1} \frac{1}{x ^{3} - 5 x ^{2}} d x

integral from 0 to 2pi of 1/(2+cos(x))

\int_{0}^{2 π} \frac{1}{2 + cos ( x )} d x

integral from-infinity to 0 of e^{-|5x|}

\int_{- \infty}^{0} e^{- ∣ 5 x ∣} d x

Frequently Asked Questions (FAQ)

What is the integral from-2 to 1 of (2x^3+1) ?
The integral from-2 to 1 of (2x^3+1) is -9/2