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Popular >

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

Solution

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

Solution

\frac{9}{2}

+1

Decimal

4.5

Solution steps

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

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

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

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

= 6 - (- \frac{3}{2}) - 3

Simplify

6 - (- \frac{3}{2}) - 3 : \frac{9}{2}

= \frac{9}{2}

Graph

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\int_{0}^{l n (2 x)} sin (5 e^{t}) d t

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\int_{0}^{1} 2 x (x^{2} + \frac{1}{2})^{2} d x

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\int_{2}^{3} \frac{2}{1 + x ^{2}} d x

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

integral from pi/6 to pi/3 of cot^3(x)

\int_{\frac{π}{6}}^{\frac{π}{3}} cot^{3} (x) d x

Frequently Asked Questions (FAQ)

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