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Popular >

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

Solution

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

Solution

\frac{3}{2}

+1

Decimal Notation

1.5

Solution steps

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

\int_{- 1}^{2} 3 x d x = \frac{9}{2}

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

= \frac{9}{2} - 3

Simplify

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

= \frac{3}{2}

Popular Examples

integral from 0 to 1 of 8x^{-1/5}

\int_{0}^{1} 8 x^{- \frac{1}{5}} d x

integral from 0 to 5 of t

\int_{0}^{5} t d t

integral from 2 to 4 of x^2-2

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

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

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

integral from-x to x of sqrt(x^2+y^2)

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

Frequently Asked Questions (FAQ)

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