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Popular >

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

Solution

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

Solution

- \frac{2}{3}

+1

Decimal Notation

- 0.66666 \dots

Solution steps

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

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

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

= 0 - \frac{2}{3}

Simplify

= - \frac{2}{3}

Popular Examples

integral from 1 to 2 of (Inx)/x

\int_{1}^{2} \frac{I n x}{x} d x

integral from 0 to pi of e^{x/2}cos(x)

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

integral from 1 to 2 of sqrt(18x+37)

\int_{1}^{2} 18 x + 37 d x

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

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

integral from-3 to x of 1/3 (1+x/3)

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

Frequently Asked Questions (FAQ)

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