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Popular >

integral from-1 to 1 of 2x^2-x^3

Solution

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

Solution

\frac{4}{3}

+1

Decimal Notation

1.33333 \dots

Solution steps

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

\int_{- 1}^{1} 2 x^{2} d x = \frac{4}{3}

\int_{- 1}^{1} x^{3} d x = 0

= \frac{4}{3} - 0

Simplify

= \frac{4}{3}

Popular Examples

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

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

integral from 0 to 1/2 of 2/(81+4x^2)

\int_{0}^{\frac{1}{2}} \frac{2}{81 + 4 x ^{2}} d x

integral from 0 to 1 of (10x-2)

\int_{0}^{1} (10 x - 2) d x

integral from 0 to 2 of x^2e^{2x}

\int_{0}^{2} x^{2} e^{2 x} d x

integral from 0 to 2 of (6x^2+4x+2)

\int_{0}^{2} (6 x^{2} + 4 x + 2) d x

Frequently Asked Questions (FAQ)

What is the integral from-1 to 1 of 2x^2-x^3 ?
The integral from-1 to 1 of 2x^2-x^3 is 4/3