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Popular >

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

Solution

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

Solution

\frac{9}{2}

+1

Decimal

4.5

Solution steps

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

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

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

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

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

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

Simplify

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

= \frac{9}{2}

Graph

Popular Examples

derivative of (3+x/(x-1))

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

limit as x approaches 1 of 2/(x-1)

x \to 1 lim (\frac{2}{x - 1})

integral of tan^5(x

\int tan^{5} (d) x d x

tangent of x^2+xy+2y^2=58,(5,3)tangent of

x^{2} + x y + 2 y^{2} = 58, (5, 3)

(dy)/(dx)=y^2-y

\frac{d y}{d x} = y^{2} - y

Frequently Asked Questions (FAQ)

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