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Popular >

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

Solution

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

Solution

\frac{9}{2}

+1

Decimal Notation

4.5

Solution steps

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

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

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

\int_{- 1}^{2} 2 d x = 6

= \frac{3}{2} - 3 + 6

Simplify

\frac{3}{2} - 3 + 6 : \frac{9}{2}

= \frac{9}{2}

Popular Examples

(\partial)/(\partial x)(sqrt(2x^2+4y^2))

\frac{\partial}{\partial x} (2 x^{2} + 4 y^{2})

f (t) = e^{5 t}

integral of sin^2(1)

\int sin^{2} (1) d x

(\partial)/(\partial y)(-1/(x^2y))

\frac{\partial}{\partial y} (- \frac{1}{x ^{2} y})

integral from 2 to 4 of x^2((2x-3)/6)

\int_{2}^{4} x^{2} (\frac{2 x - 3}{6}) d x

Frequently Asked Questions (FAQ)

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