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Popular >

integral from-3 to 1 of-x^2-2x+3

Solution

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

Solution

\frac{32}{3}

+1

Decimal Notation

10.66666 \dots

Solution steps

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

\int_{- 3}^{1} x^{2} d x = \frac{28}{3}

\int_{- 3}^{1} 2 x d x = - 8

\int_{- 3}^{1} 3 d x = 12

= - \frac{28}{3} - (- 8) + 12

Simplify

- \frac{28}{3} - (- 8) + 12 : \frac{32}{3}

= \frac{32}{3}

Popular Examples

integral from 0 to 9 of |7-x|

\int_{0}^{9} ∣ 7 - x ∣ d x

integral from 0 to 2 of x(2-x)

\int_{0}^{2} x (2 - x) d x

integral from 0 to 1 of (ln(x))/(1+x^2)

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

integral from 1 to infinity of 2x^{-3}

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

integral from 0 to x of e^{-2x}

\int_{0}^{x} e^{- 2 x} d x

Frequently Asked Questions (FAQ)

What is the integral from-3 to 1 of-x^2-2x+3 ?
The integral from-3 to 1 of-x^2-2x+3 is 32/3