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Popular >

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

Solution

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

Solution

\frac{10}{3}

+1

Solution steps

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

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

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

= 4 - \frac{2}{3}

Simplify

4 - \frac{2}{3} : \frac{10}{3}

= \frac{10}{3}

Popular Examples

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

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

taylor (1+x)^n0 taylor

(1 + x)^{n} 0

derivative of (2x^2-3x/(x-2))

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

(\partial)/(\partial x)(6y+1)

\frac{\partial}{\partial x} (6 y + 1)

limit as x approaches 0-of sin(pi/x)

x \to 0 - lim (sin (\frac{π}{x}))

Frequently Asked Questions (FAQ)

What is the integral from-1 to 1 of 2-x^2 ?
The integral from-1 to 1 of 2-x^2 is 10/3