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Popular >

integral from 0 to 2 of-x^2-3x

Solution

\int_{0}^{2} - x^{2} - 3 x d x

Solution

- \frac{26}{3}

+1

Decimal Notation

- 8.66666 \dots

Solution steps

\int_{0}^{2} - x^{2} - 3 x 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_{0}^{2} x^{2} d x - \int_{0}^{2} 3 x d x

\int_{0}^{2} x^{2} d x = \frac{8}{3}

\int_{0}^{2} 3 x d x = 6

= - \frac{8}{3} - 6

Simplify

- \frac{8}{3} - 6 : - \frac{26}{3}

= - \frac{26}{3}

Popular Examples

integral from 0 to 4 of y^2

\int_{0}^{4} y^{2} d y

integral from 0 to 2pi of-16sin^2(t)

\int_{0}^{2 π} - 16 sin^{2} (t) d t

integral from 1 to 3 of xsqrt(10x^2-9)

\int_{1}^{3} x 10 x^{2} - 9 d x

integral from-3 to-1 of (-6x^2+3x+7)

\int_{- 3}^{- 1} (- 6 x^{2} + 3 x + 7) d x

integral from 0 to 1 of 2x+2

\int_{0}^{1} 2 x + 2 d x

Frequently Asked Questions (FAQ)

What is the integral from 0 to 2 of-x^2-3x ?
The integral from 0 to 2 of-x^2-3x is -26/3