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Popular >

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

Solution

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

Solution

\frac{2}{3}

+1

Decimal Notation

0.66666 \dots

Solution steps

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

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

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

= \frac{2}{3} - 0

Simplify

= \frac{2}{3}

Popular Examples

integral of (3x)/(sqrt(4x^2+5))

\int \frac{3 x}{4 x ^{2} + 5} d x

(8x+9y)dx+(9x+6y)dy=0

(8 x + 9 y) d x + (9 x + 6 y) d y = 0

derivative of 2x-2

\frac{d}{d x} (2 x - 2)

(x+1)y^'+(x+2)y=2xe^{-ax}

(x + 1) y^{^{'}} + (x + 2) y = 2 x e^{- a x}

integral of ((x-1)/3)^2

\int (\frac{x - 1}{3})^{2} d x

Frequently Asked Questions (FAQ)

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